Conjugacy Classes And Centralizers Of Semisimple Elements In Finite Groups Of Lie Type

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Conjugacy Classes In Semisimple Algebraic Groups

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Author : James E. Humphreys
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

Conjugacy Classes In Semisimple Algebraic Groups written by James E. Humphreys and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Education categories.

Provides a useful exposition of results on the structure of semisimple algebraic groups over an arbitrary algebraically closed field. After the fundamental work of Borel and Chevalley in the 1950s and 1960s, further results were obtained over the next thirty years on conjugacy classes and centralizers of elements of such groups.

Conjugacy Classes And Centralizers Of Semisimple Elements In Finite Groups Of Lie Type

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Author : D. I. Deriziotis
language : en
Publisher:
Release Date : 1984

Conjugacy Classes And Centralizers Of Semisimple Elements In Finite Groups Of Lie Type written by D. I. Deriziotis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Finite groups categories.

Representations Of Finite Groups Of Lie Type

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Author : François Digne
language : en
Publisher: Cambridge University Press
Release Date : 2020-03-05

Representations Of Finite Groups Of Lie Type written by François Digne and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-05 with Mathematics categories.

An up-to-date and self-contained introduction based on a graduate course taught at the University of Paris.

Linear Algebraic Groups And Finite Groups Of Lie Type

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Author : Gunter Malle
language : en
Publisher: Cambridge University Press
Release Date : 2011-09-08

Linear Algebraic Groups And Finite Groups Of Lie Type written by Gunter Malle and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-08 with Mathematics categories.

Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups. The second chapter introduces more specialized topics in the subgroup structure of semisimple groups and describes the classification of the maximal subgroups of the simple algebraic groups. The authors then systematically develop the subgroup structure of finite groups of Lie type as a consequence of the structural results on algebraic groups. This approach will help students to understand the relationship between these two classes of groups. The book covers many topics that are central to the subject, but missing from existing textbooks. The authors provide numerous instructive exercises and examples for those who are learning the subject as well as more advanced topics for research students working in related areas.

Conjugacy Classes And Centralizers Of Semisimple Elements In Finite Groups Of Lie Type

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Author : Demetris I. Deriziotis
language : de
Publisher:
Release Date : 1984

Conjugacy Classes And Centralizers Of Semisimple Elements In Finite Groups Of Lie Type written by Demetris I. Deriziotis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.

The Character Theory Of Finite Groups Of Lie Type

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Author : Meinolf Geck
language : en
Publisher: Cambridge University Press
Release Date : 2020-02-27

The Character Theory Of Finite Groups Of Lie Type written by Meinolf Geck and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-27 with Mathematics categories.

A comprehensive guide to the vast literature and range of results around Lusztig's character theory of finite groups of Lie type.

Centres Of Centralizers Of Unipotent Elements In Simple Algebraic Groups

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Author : Ross Lawther
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Centres Of Centralizers Of Unipotent Elements In Simple Algebraic Groups written by Ross Lawther and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

Let G be a simple algebraic group defined over an algebraically closed field k whose characteristic is either 0 or a good prime for G, and let uEG be unipotent. The authors study the centralizer CG(u), especially its centre Z(CG(u)). They calculate the Lie algebra of Z(CG(u)), in particular determining its dimension; they prove a succession of theorems of increasing generality, the last of which provides a formula for dim Z(CG(u)) in terms of the labelled diagram associated to the conjugacy class containing u.

Ischia Group Theory 2004

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Author : Zvi Arad
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Ischia Group Theory 2004 written by Zvi Arad and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

Experts in the theory of finite groups and in representation theory provide insight into various aspects of group theory, such as the classification of finite simple groups, character theory, groups with special properties, table algebras, etc. Information for our distributors include: This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).

Finite And Locally Finite Groups

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Author : B. Hartley
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Finite And Locally Finite Groups written by B. Hartley and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This volume contains the proceedings of the NATO Advanced Study Institute on Finite and Locally Finite Groups held in Istanbul, Turkey, 14-27 August 1994, at which there were about 90 participants from some 16 different countries. The ASI received generous financial support from the Scientific Affairs Division of NATO. INTRODUCTION A locally finite group is a group in which every finite set of elements is contained in a finite subgroup. The study of locally finite groups began with Schur's result that a periodic linear group is, in fact, locally finite. The simple locally finite groups are of particular interest. In view of the classification of the finite simple groups and advances in representation theory, it is natural to pursue classification theorems for simple locally finite groups. This was one of the central themes of the Istanbul conference and significant progress is reported herein. The theory of simple locally finite groups intersects many areas of group theory and representation theory, so this served as a focus for several articles in the volume. Every simple locally finite group has what is known as a Kegel cover. This is a collection of pairs {(G , Ni) liE I}, where I is an index set, each group Gi is finite, i Ni

Unipotent And Nilpotent Classes In Simple Algebraic Groups And Lie Algebras

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Author : Martin W. Liebeck
language : en
Publisher: American Mathematical Soc.
Release Date : 2012-01-25

Unipotent And Nilpotent Classes In Simple Algebraic Groups And Lie Algebras written by Martin W. Liebeck and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-25 with Mathematics categories.

This book concerns the theory of unipotent elements in simple algebraic groups over algebraically closed or finite fields, and nilpotent elements in the corresponding simple Lie algebras. These topics have been an important area of study for decades, with applications to representation theory, character theory, the subgroup structure of algebraic groups and finite groups, and the classification of the finite simple groups. The main focus is on obtaining full information on class representatives and centralizers of unipotent and nilpotent elements. Although there is a substantial literature on this topic, this book is the first single source where such information is presented completely in all characteristics. In addition, many of the results are new--for example, those concerning centralizers of nilpotent elements in small characteristics. Indeed, the whole approach, while using some ideas from the literature, is novel, and yields many new general and specific facts concerning the structure and embeddings of centralizers.