The Maximal Subgroups Of The Low Dimensional Finite Classical Groups
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The Maximal Subgroups Of The Low Dimensional Finite Classical Groups
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Author : John N. Bray
language : en
Publisher:
Release Date : 2013
The Maximal Subgroups Of The Low Dimensional Finite Classical Groups written by John N. Bray and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Electronic books categories.
Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods.
The Subgroup Structure Of The Finite Classical Groups
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Author : Peter B. Kleidman
language : en
Publisher: Cambridge University Press
Release Date : 1990-04-26
The Subgroup Structure Of The Finite Classical Groups written by Peter B. Kleidman 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 1990-04-26 with Mathematics categories.
With the classification of the finite simple groups complete, much work has gone into the study of maximal subgroups of almost simple groups. In this volume the authors investigate the maximal subgroups of the finite classical groups and present research into these groups as well as proving many new results. In particular, the authors develop a unified treatment of the theory of the 'geometric subgroups' of the classical groups, introduced by Aschbacher, and they answer the questions of maximality and conjugacy and obtain the precise shapes of these groups. Both authors are experts in the field and the book will be of considerable value not only to group theorists, but also to combinatorialists and geometers interested in these techniques and results. Graduate students will find it a very readable introduction to the topic and it will bring them to the very forefront of research in group theory.
The Maximal Subgroups Of The Low Dimensional Finite Classical Groups
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Author : John N. Bray
language : en
Publisher: Cambridge University Press
Release Date : 2013-07-25
The Maximal Subgroups Of The Low Dimensional Finite Classical Groups written by John N. Bray 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 2013-07-25 with Mathematics categories.
Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods.
The Maximal Subgroups Of The Classical Groups In Dimension 13 14 And 15
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Author : Anna Katharina Schröder
language : en
Publisher:
Release Date : 2015
The Maximal Subgroups Of The Classical Groups In Dimension 13 14 And 15 written by Anna Katharina Schröder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Finite simple groups categories.
The Maximal Subgroups Of Classical Algebraic Groups
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Author : Gary M. Seitz
language : en
Publisher: American Mathematical Soc.
Release Date : 1987
The Maximal Subgroups Of Classical Algebraic Groups written by Gary M. Seitz 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 1987 with Linear algebraic groups categories.
Let [italic]V be a finite dimensional vector space over an algebraically closed field of characteristic p [greater than] 0 and let G = SL([italic]V), Sp([italic]V), or SO([italic]V). The main result describes all closed, connected, overgroups of [italic]X in SL([italic]V), assuming [italic]X is a closed, connected, irreducible subgroup of G.
Surveys In Combinatorics 2005
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Author : Bridget S. Webb
language : en
Publisher: Cambridge University Press
Release Date : 2005-07-21
Surveys In Combinatorics 2005 written by Bridget S. Webb 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 2005-07-21 with Mathematics categories.
This volume provides an up-to-date overview of current research across combinatorics,.
The Maximal Subgroups Of The Low Dimensional Finite Classical Groups
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Author : John N. Bray
language : en
Publisher: Cambridge University Press
Release Date : 2013-07-25
The Maximal Subgroups Of The Low Dimensional Finite Classical Groups written by John N. Bray 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 2013-07-25 with Mathematics categories.
This book classifies the maximal subgroups of the almost simple finite classical groups in dimension up to 12; it also describes the maximal subgroups of the almost simple finite exceptional groups with socle one of Sz(q), G2(q), 2G2(q) or 3D4(q). Theoretical and computational tools are used throughout, with downloadable Magma code provided. The exposition contains a wealth of information on the structure and action of the geometric subgroups of classical groups, but the reader will also encounter methods for analysing the structure and maximality of almost simple subgroups of almost simple groups. Additionally, this book contains detailed information on using Magma to calculate with representations over number fields and finite fields. Featured within are previously unseen results and over 80 tables describing the maximal subgroups, making this volume an essential reference for researchers. It also functions as a graduate-level textbook on finite simple groups, computational group theory and representation theory.
Finite Simple Groups Thirty Years Of The Atlas And Beyond
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Author : Manjul Bhargava
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-07-24
Finite Simple Groups Thirty Years Of The Atlas And Beyond written by Manjul Bhargava 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 2017-07-24 with Atlas of finite groups categories.
Classification of Finite Simple Groups, one of the most monumental accomplishments of modern mathematics, was announced in 1983 with the proof completed in 2004. Since then, it has opened up a new and powerful strategy to approach and resolve many previously inaccessible problems in group theory, number theory, combinatorics, coding theory, algebraic geometry, and other areas of mathematics. This strategy crucially utilizes various information about finite simple groups, part of which is catalogued in the Atlas of Finite Groups (John H. Conway et al.), and in An Atlas of Brauer Characters (Christoph Jansen et al.). It is impossible to overestimate the roles of the Atlases and the related computer algebra systems in the everyday life of researchers in many areas of contemporary mathematics. The main objective of the conference was to discuss numerous applications of the Atlases and to explore recent developments and future directions of research, with focus on the interaction between computation and theory and applications to number theory and algebraic geometry. The papers in this volume are based on talks given at the conference. They present a comprehensive survey on current research in all of these fields.
Proceedings Of The St Petersburg Mathematical Society Volume I
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Author : O. A. Ladyzhenskaya Anatoli_ Moiseevich Vershik
language : en
Publisher: American Mathematical Soc.
Release Date : 1993-03-22
Proceedings Of The St Petersburg Mathematical Society Volume I written by O. A. Ladyzhenskaya Anatoli_ Moiseevich Vershik 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 1993-03-22 with Mathematics categories.
This is the inaugural volume of a new book series published under the auspices of the St. Petersburg Mathematical Society. The book contains contributions by some of the leading mathematicians in St. Petersburg. Ranging over a wide array of topics, these papers testify to the diverse interests and productive mathematical life of the St. Petersburg Mathematical Society.
The Maximal Factorizations Of The Finite Simple Groups And Their Automorphism Groups
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Author : Martin W. Liebeck
language : en
Publisher: American Mathematical Soc.
Release Date : 1990
The Maximal Factorizations Of The Finite Simple Groups And Their Automorphism Groups 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 1990 with Mathematics categories.
Factorizations of finite groups as a product of two proper subgroups arise naturally in several areas of group theory, geometry, and applications. In this book, the authors determine all factorizations of the finite simple groups and their automorphism groups as a product of two maximal subgroups. The proof involved detailed study of the geometry of simple groups, and there is a substantial introductory section presenting this material.