Groups

1.

Lie Groups and Algebraic Groups

出版日：2012/07/31 作者：Arkadij L. Onishchik; Ernest B. Vinberg; Dimitry A. Leites (TRN) 出版社：Springer Verlag 裝訂：平裝

This is a quite extraordinary book on Lie groups and algebraic groups. Created from hectographed notes in Russian from Moscow University, which for many Soviet mathematicians have been something akin

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2.

Prevention Groups

出版日：2012/12/20 作者：Elaine Clanton Harpine (EDT); Arthur M. Horne (EDT) 出版社：SAGE Publications UK 裝訂：平裝

This fourth book in the Prevention Practice Kit introduces the topic of prevention groups and illustrates how to apply that definition to real-world settings for counselors, psychologists, mental heal

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3.

Permutation Groups

出版日：2012/03/14 作者：Donald S. Passman 出版社：Dover Pubns 裝訂：平裝

These lecture notes by a prominent authority provide a self-contained account of distinctive classification theorems in the field of permutation groups. The treatment includes thorough discussions of

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Introduction to Complex Reflection Groups and Their Braid Groups

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4.

Introduction to Complex Reflection Groups and Their Braid Groups

出版日：2010/03/15 作者：Michel BrouT 出版社：Springer Verlag 裝訂：平裝

Weyl groups are particular cases of complex reflection groups, i.e. finite subgroups of GLr(C) generated by (pseudo)reflections. These are groups whose polynomial ring of invariants is a polynomial al

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5.

Complex Kleinian Groups

出版日：2012/07/27 作者：Angel Cano; Juan Pablo Navarrete; Jose Seade 出版社：Springer Verlag 裝訂：精裝

This monograph lays down the foundations of the theory of complex Kleinian groups, a newly born area of mathematics whose origin traces back to the work of Riemann, Poincare, Picard and many others. K

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6.

Groups ─ Introduction to Ideas and Methods of the Theory of Groups

出版日：2012/04/20 作者：Antonio Mach8 出版社：Springer Verlag 裝訂：平裝

Groups are a means of classification, via the group action on a set, but also the object of a classification. How many groups of a given type are there, and how can they be described? Holder’s program

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7.

Strategic Reading Groups

出版日：2012/03/02 作者：Jennifer Berne; Sophie Degener; Donna Ogle (FRW) 出版社：SAGE Publications UK 裝訂：平裝

Berne and Degener (reading and language, National Louis U.) explain the use of strategic, differentiated reading groups in middle school language arts or reading classrooms. They discuss differentiate

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8.

Representing Finite Groups

出版日：2011/12/08 作者：Ambar N. Sengupta 出版社：Springer Verlag 裝訂：精裝

This graduate textbook presents the basics of representation theory for finite groups from the point of view of semisimple algebras and modules over them. The presentation interweaves insights from sp

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9.

Galois Groups and Fundamental Groups

出版日：2010/09/30 作者：Leila Schneps 出版社：Cambridge Univ Pr 裝訂：平裝

This book contains eight expository articles by well-known authors of the theory of Galois groups and fundamental groups. They focus on presenting developments, avoiding classical aspects which have already been described at length in the standard literature. The volume grew from the special semester held at the MSRI in Berkeley in 1999 and many of the results are due to work accomplished during that program. Among the subjects covered are elliptic surfaces, Grothendieck's anabelian conjecture, fundamental groups of curves and differential Galois theory in positive characteristic. Although the articles contain fresh results, the authors have striven to make them as introductory as possible, making them accessible to graduate students as well as researchers in algebraic geometry and number theory. The volume also contains a lengthy overview by Leila Schneps that sets the individual articles into the broader context of contemporary research in Galois groups.

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10.

Galois Groups and Fundamental Groups

出版日：2009/08/31 作者：Tamás Szamuely 出版社：Cambridge Univ Pr 裝訂：精裝

Ever since the concepts of Galois groups in algebra and fundamental groups in topology emerged during the nineteenth century, mathematicians have known of the strong analogies between the two concepts. This book presents the connection starting at an elementary level, showing how the judicious use of algebraic geometry gives access to the powerful interplay between algebra and topology that underpins much modern research in geometry and number theory. Assuming as little technical background as possible, the book starts with basic algebraic and topological concepts, but already presented from the modern viewpoint advocated by Grothendieck. This enables a systematic yet accessible development of the theories of fundamental groups of algebraic curves, fundamental groups of schemes, and Tannakian fundamental groups. The connection between fundamental groups and linear differential equations is also developed at increasing levels of generality. Key applications and recent results, for examp

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11.

Linear Algebraic Groups

出版日：2008/11/18 作者：T. A. Springer 出版社：Springer Verlag 裝訂：平裝

The first edition of this book presented the theory of linear algebraic groups over an algebraically closed field. The second edition, thoroughly revised and expanded, extends the theory over arbitrar

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12.

Galois Groups and Fundamental Groups

出版日：2003/07/21 作者：Leila Schneps 出版社：Cambridge Univ Pr 裝訂：精裝

This book contains eight expository articles by well-known authors of the theory of Galois groups and fundamental groups. They focus on presenting developments, avoiding classical aspects which have already been described at length in the standard literature. The volume grew from the special semester held at the MSRI in Berkeley in 1999 and many of the results are due to work accomplished during that program. Among the subjects covered are elliptic surfaces, Grothendieck's anabelian conjecture, fundamental groups of curves and differential Galois theory in positive characteristic. Although the articles contain fresh results, the authors have striven to make them as introductory as possible, making them accessible to graduate students as well as researchers in algebraic geometry and number theory. The volume also contains a lengthy overview by Leila Schneps that sets the individual articles into the broader context of contemporary research in Galois groups.

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13.

The Classical Groups

出版日：1997/10/13 作者：Hermann Weyl 出版社：Princeton Univ Pr 裝訂：平裝

In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from a

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14.

Reflection Groups and Coxeter Groups

出版日：1993/01/01 作者：James E. Humphreys 出版社：Cambridge Univ Pr 裝訂：平裝

This graduate textbook presents a concrete and up-to-date introduction to the theory of Coxeter groups. The book is self-contained, making it suitable either for courses and seminars or for self-study. The first part is devoted to establishing concrete examples. Finite reflection groups acting on Euclidean spaces are discussed, and the first part ends with the construction of the affine Weyl groups, a class of Coxeter groups that plays a major role in Lie theory. The second part (which is logically independent of, but motivated by, the first) develops from scratch the properties of Coxeter groups in general, including the Bruhat ordering and the seminal work of Kazhdan and Lusztig on representations of Hecke algebras associated with Coxeter groups is introduced. Finally a number of interesting complementary topics as well as connections with Lie theory are sketched. The book concludes with an extensive bibliography on Coxeter groups and their applications.

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15.

Whitehead Groups of Finite Groups

出版日：1988/02/25 作者：Robert Oliver 出版社：Cambridge Univ Pr 裝訂：平裝

This book's aim is to make accessible techniques for studying Whitehead groups of finite groups, as well as a variety of related topics such as induction theory and p-adic logarithms. The author has included a lengthy introduction to set the scene for non-specialists who want an overview of the field, its history and its applications. The rest of the book consists of three parts: general theory, group rings of p-groups and general finite groups. The book will be welcomed by specialists in K- and L-theory and by algebraists in general as a state-of-the art survey of the area.

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16.

Lie Groups and Compact Groups

出版日：1977/06/02 作者：John F. Price 出版社：Cambridge Univ Pr 裝訂：平裝

The theory of Lie groups is a very active part of mathematics and it is the twofold aim of these notes to provide a self-contained introduction to the subject and to make results about the structure of Lie groups and compact groups available to a wide audience. Particular emphasis is placed upon results and techniques which explicate the interplay between a Lie group and its Lie algebra, and, in keeping with current trends, a coordinate-free notation is used. Much of the general theory is illustrated by examples and exercises involving specific Lie groups.

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17.

Geometry of Crystallographic Groups

出版日：2012/09/04 作者：Andrzej Szczepanski 出版社：World Scientific Pub Co Inc 裝訂：精裝

Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space. They got their name, because in three dimensions they occur as the symmetry groups

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18.

Ordered Groups and Infinite Permutation Groups

出版日：2012/07/31 作者：W. C. Holland (EDT) 出版社：Springer Verlag 裝訂：平裝

The separate areas of Ordered Groups and Infinite Permutation Groups began to converge in significant ways about thirty years ago. Since then, the connection has steadily grown so that now permutati

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19.

Great Groups! ─ Creating and Leading Effective Groups

出版日：2016/03/01 作者：David R. Hutchinson 出版社：SAGE Publications UK 裝訂：平裝

Great Groups is a core text which will serve as a foundational text and practical guide to creating and leading groups. It will be grounded in theory but it will have a strong focus on practice and sk

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20.

Lie Groups

出版日：2013/10/15 作者：Daniel Bump 出版社：Springer Verlag 裝訂：精裝

This book is intended for a one-year graduate course on Lie groups and Lie algebras. The book goes beyond the representation theory of compact Lie groups, which is the basis of many texts, and provide

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21.

Quantum Groups

出版日：2012/12/31 作者：Christian Kassel 出版社：Springer Verlag 裝訂：平裝

Here is an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and Drinfeld's recent fundamental contributions. It presents the quantum groups at

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22.

Motivational Interviewing in Groups

出版日：2012/11/15 作者：Christopher C. Wagner; Karen S. Ingersoll 出版社：Guilford Pubn 裝訂：精裝

"Subject Areas/Keywords: addictions, ambivalence, chronic health conditions, group psychotherapy, group therapy, intimate partner violence, MI, motivational interviewing, psychoeducational groups, res

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Problems and Solutions for Groups, Lie Groups, Lie Algebras With Applications

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23.

Problems and Solutions for Groups, Lie Groups, Lie Algebras With Applications

出版日：2012/04/26 作者：Willi-Hans Steeb; Igor Tanski; Yorick Hardy 出版社：World Scientific Pub Co Inc 裝訂：精裝

The book presents examples of important techniques and theorems for Groups, Lie groups and Lie algebras. This allows the reader to gain understandings and insights through practice. Applications of th

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24.

Peer Groups

出版日：2008/07/23 作者：Dr. SunWolf 出版社：SAGE Publications UK 裝訂：平裝

Clans, cliques, clubs, or classmates: Students of group communication should be encouraged to think critically about concepts to the groups that matter to them most—peers. Peer Groups is the first tex

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25.

Sporadic Groups

出版日：2008/03/01 作者：Michael Aschbacher 出版社：Cambridge Univ Pr 裝訂：平裝

Sporadic Groups is the first step in a programme to provide a uniform, self-contained treatment of the foundational material on the sporadic finite simple groups. The classification of the finite simple groups is one of the premier achievements of modern mathematics. The classification demonstrates that each finite simple group is either a finite analogue of a simple Lie group or one of 26 pathological sporadic groups. Sporadic Groups provides for the first time a self-contained treatment of the foundations of the theory of sporadic groups accessible to mathematicians with a basic background in finite groups such as in the author's text Finite Group Theory. Introductory material useful for studying the sporadics, such as a discussion of large extraspecial 2-subgroups and Tits' coset geometries, opens the book. A construction of the Mathieu groups as the automorphism groups of Steiner systems follows. The Golay and Todd modules, and the 2-local geometry for M24 are discussed. This is fo

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26.

Lie Groups

出版日：2006/10/30 作者：Claudio Procesi 出版社：Springer Verlag 裝訂：平裝

Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. In Lie Groups: An Approach through Invariants and Representations, the author's masterful approa

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27.

Lie Groups

出版日：2000/01/01 作者：J. J. Duistermaat; Johan A. C. Kolk 出版社：Springer Verlag 裝訂：平裝

This (post) graduate text gives a broad introduction to Lie groups and algebras with an emphasis on differential geometrical methods. It analyzes the structure of compact Lie groups in terms of the ac

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28.

Permutation Groups

出版日：1999/02/04 作者：Peter J. Cameron 出版社：Cambridge Univ Pr 裝訂：精裝

Permutation groups are one of the oldest topics in algebra. However, their study has recently been revolutionised by new developments, particularly the classification of finite simple groups, but also relations with logic and combinatorics, and importantly, computer algebra systems have been introduced that can deal with large permutation groups. This book gives a summary of these developments, including an introduction to relevant computer algebra systems, sketch proofs of major theorems, and many examples of applying the classification of finite simple groups. It is aimed at beginning graduate students and experts in other areas, and grew from a short course at the EIDMA institute in Eindhoven.

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29.

Permutation Groups

出版日：1999/02/04 作者：Peter J. Cameron 出版社：Cambridge Univ Pr 裝訂：平裝

Permutation groups are one of the oldest topics in algebra. However, their study has recently been revolutionised by new developments, particularly the classification of finite simple groups, but also relations with logic and combinatorics, and importantly, computer algebra systems have been introduced that can deal with large permutation groups. This book gives a summary of these developments, including an introduction to relevant computer algebra systems, sketch proofs of major theorems, and many examples of applying the classification of finite simple groups. It is aimed at beginning graduate students and experts in other areas, and grew from a short course at the EIDMA institute in Eindhoven.

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Model Theory of Groups and Automorphism Groups

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30.

Model Theory of Groups and Automorphism Groups

出版日：1997/07/10 作者：David M. Evans 出版社：Cambridge Univ Pr 裝訂：平裝

This volume surveys recent interactions between model theory and other branches of mathematics, notably group theory. Beginning with an introductory chapter describing relevant background material, the book contains contributions from many leading international figures in this area. Topics described include automorphism groups of algebraically closed fields, the model theory of pseudo-finite fields and applications to the subgroup structure of finite Chevalley groups. Model theory of modules, and aspects of model theory of various classes of groups, including free groups, are also discussed. The book also contains the first comprehensive survey of finite covers. Many new proofs and simplifications of recent results are presented and the articles contain many open problems. This book will be a suitable guide for graduate students and a useful reference for researchers working in model theory and algebra.

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Groups As Galois Groups: An Introduction

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31.

Groups As Galois Groups: An Introduction

出版日：1996/08/01 作者：Helmut Volklein 出版社：Cambridge Univ Pr 裝訂：精裝

This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the beginning of the century. It brings together ideas from group theory, algebraic geometry and number theory, topology, and analysis. Assuming only elementary algebra and complex analysis, the author develops the necessary background from topology, Riemann surface theory and number theory. The first part of the book is quite elementary, and leads up to the basic rigidity criteria for the realisation of groups as Galois groups. The second part presents more advanced topics, such as braid group action and moduli spaces for covers of the Riemann sphere, GAR- and GAL- realizations, and patching over complete valued fields. Graduate students and mathematicians from other areas (especially group theory) will find this an excellent introduction to a fascinating field.

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32.

Sporadic Groups

出版日：1994/03/25 作者：Michael Aschbacher 出版社：Cambridge Univ Pr 裝訂：精裝

Sporadic Groups is the first step in a programme to provide a uniform, self-contained treatment of the foundational material on the sporadic finite simple groups. The classification of the finite simple groups is one of the premier achievements of modern mathematics. The classification demonstrates that each finite simple group is either a finite analogue of a simple Lie group or one of 26 pathological sporadic groups. Sporadic Groups provides for the first time a self-contained treatment of the foundations of the theory of sporadic groups accessible to mathematicians with a basic background in finite groups such as in the author's text Finite Group Theory. Introductory material useful for studying the sporadics, such as a discussion of large extraspecial 2-subgroups and Tits' coset geometries, opens the book. A construction of the Mathieu groups as the automorphism groups of Steiner systems follows. The Golay and Todd modules, and the 2-local geometry for M24 are discussed. This is fo

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33.

Lectures on Lie Groups

出版日：1983/01/15 作者：Frank Adams 出版社：Univ of Chicago Pr 裝訂：平裝

"[Lectures in Lie Groups] fulfills its aim admirably and should be a useful reference for any mathematician who would like to learn the basic results for compact Lie groups. . . . The book is a well w

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34.

Focus Groups

出版日：2020/09/30 作者：Joe Langford 出版社：CRC Pr I Llc 裝訂：精裝

This book sets out the way focus groups can be applied particularly to ergonomics and design-related projects. It provides guidance on running focus group sessions and is ideal for both professionals

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Theory of Groups and Symmetries ― Finite Groups, Lie Groups, and Lie Algebras

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35.

Theory of Groups and Symmetries ― Finite Groups, Lie Groups, and Lie Algebras

出版日：2018/05/23 作者：Alexey P. Isaev; Valery A. Rubakov 出版社：World Scientific Pub Co Inc 裝訂：精裝

The book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations. It covers

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36.

Animal Groups

出版日：2017/08/01 作者：Clara Maccarald 出版社：Rourke Pub Group 裝訂：平裝

Lions and bees and meerkats, oh my—these are a few of the many animals that survive and thrive in groups. Discover how group members help each other face life’s challenges. From finding food to raisin

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37.

Braid Groups

出版日：2008/08/05 作者：Christian Kassel; Vladimir Turaev; O. Dodane (CRT) 出版社：Springer Verlag 裝訂：平裝

In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; th

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38.

Braid Groups

出版日：2008/07/25 作者：Christian Kassel; Vladimir Turaev 出版社：Springer Verlag 裝訂：精裝

In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; th

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39.

Algebraic Groups and Lie Groups With Few Factors

出版日：2008/06/01 作者：Alfonso Di Bartolo; Giovanni Falcone; Peter Plaumann; Karl Strambach 出版社：Textstream 裝訂：平裝

Algebraic groups are treated in this volume from a group theoretical point of view and the obtained results are compared with the analogous issues in the theory of Lie groups. The main body of the tex

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40.

Pressure Groups

出版日：2007/04/04 作者：Duncan Watts 出版社：Edinburgh Univ Pr 裝訂：平裝

Serves as a guide to the role of pressure groups in our democracy, establishing definitions and analysing their performance. This book includes the findings of research into the workings of British pr

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熱搜：

Lie Groups and Algebraic Groups

Prevention Groups

Permutation Groups

Introduction to Complex Reflection Groups and Their Braid Groups

Complex Kleinian Groups

Groups ─ Introduction to Ideas and Methods of the Theory of Groups

Strategic Reading Groups

Representing Finite Groups

Galois Groups and Fundamental Groups

Galois Groups and Fundamental Groups

Linear Algebraic Groups

Galois Groups and Fundamental Groups

The Classical Groups

Reflection Groups and Coxeter Groups

Whitehead Groups of Finite Groups

Lie Groups and Compact Groups

Geometry of Crystallographic Groups

Ordered Groups and Infinite Permutation Groups

Great Groups! ─ Creating and Leading Effective Groups

Lie Groups

Quantum Groups

Motivational Interviewing in Groups

Problems and Solutions for Groups, Lie Groups, Lie Algebras With Applications

Peer Groups

Sporadic Groups

Lie Groups

Lie Groups

Permutation Groups

Permutation Groups

Model Theory of Groups and Automorphism Groups

Groups As Galois Groups: An Introduction

Sporadic Groups

Lectures on Lie Groups

Focus Groups

Theory of Groups and Symmetries ― Finite Groups, Lie Groups, and Lie Algebras

Animal Groups

Braid Groups

Braid Groups

Algebraic Groups and Lie Groups With Few Factors

Pressure Groups