3 Transposition Groups
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3 Transposition Groups
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Author : Michael Aschbacher
language : en
Publisher: Cambridge University Press
Release Date : 1997
3 Transposition Groups written by Michael Aschbacher 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 1997 with Mathematics categories.
Contains the first complete published proof of Fischer's Theorem on the classification of 3-transposition groups.
Groups Combinatorics And Geometry
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Author : Martin W. Liebeck
language : en
Publisher: Cambridge University Press
Release Date : 1992-09-10
Groups Combinatorics And Geometry written by Martin W. Liebeck 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 1992-09-10 with Mathematics categories.
This volume contains a collection of papers on the subject of the classification of finite simple groups.
Algebraic Combinatorics And The Monster Group
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Author : Alexander A. Ivanov
language : en
Publisher: Cambridge University Press
Release Date : 2023-08-17
Algebraic Combinatorics And The Monster Group written by Alexander A. Ivanov 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 2023-08-17 with Mathematics categories.
Covering, arguably, one of the most attractive and mysterious mathematical objects, the Monster group, this text strives to provide an insightful introduction and the discusses the current state of the field. The Monster group is related to many areas of mathematics, as well as physics, from number theory to string theory. This book cuts through the complex nature of the field, highlighting some of the mysteries and intricate relationships involved. Containing many meaningful examples and a manual introduction to the computer package GAP, it provides the opportunity and resources for readers to start their own calculations. Some 20 experts here share their expertise spanning this exciting field, and the resulting volume is ideal for researchers and graduate students working in Combinatorial Algebra, Group theory and related areas.
Overgroups Of Root Groups In Classical Groups
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Author : Michael Aschbacher
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-04-26
Overgroups Of Root Groups In Classical Groups written by Michael Aschbacher 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 2016-04-26 with Algebra categories.
The author extends results of McLaughlin and Kantor on overgroups of long root subgroups and long root elements in finite classical groups. In particular he determines the maximal subgroups of this form. He also determines the maximal overgroups of short root subgroups in finite classical groups and the maximal overgroups in finite orthogonal groups of c-root subgroups.
The Monster Group And Majorana Involutions
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Author : Aleksandr Anatolievich Ivanov
language : en
Publisher: Cambridge University Press
Release Date : 2009-03-19
The Monster Group And Majorana Involutions written by Aleksandr Anatolievich Ivanov 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 2009-03-19 with Mathematics categories.
A rigorous construction and uniqueness proof for the Monster group, detailing its relation to Majorana involutions.
Finite Groups Generated By 3 Transpositions
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Author : Bernd Fischer
language : en
Publisher:
Release Date : 1978
Finite Groups Generated By 3 Transpositions written by Bernd Fischer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Finite groups categories.
The Classification Of Finite Simple Groups
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Author : Michael Aschbacher
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
The Classification Of Finite Simple Groups written by Michael Aschbacher 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 Finite simple groups categories.
Provides an outline and modern overview of the classification of the finite simple groups. It primarily covers the 'even case', where the main groups arising are Lie-type (matrix) groups over a field of characteristic 2. The book thus completes a project begun by Daniel Gorenstein's 1983 book, which outlined the classification of groups of 'noncharacteristic 2 type'.
The Santa Cruz Conference On Finite Groups
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Author : Bruce Cooperstein
language : en
Publisher: American Mathematical Soc.
Release Date : 1980
The Santa Cruz Conference On Finite Groups written by Bruce Cooperstein 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 1980 with Mathematics categories.
Symmetric Generation Of Groups
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Author : Robert Curtis
language : en
Publisher: Cambridge University Press
Release Date : 2007-07-05
Symmetric Generation Of Groups written by Robert Curtis 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 2007-07-05 with Mathematics categories.
Comprehensive text which develops the notion of symmetric generation and applies the technique to sporadic simple groups.
Quaternion Fusion Packets
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Author : Michael Aschbacher
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-04-01
Quaternion Fusion Packets written by Michael Aschbacher 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 2021-04-01 with Education categories.
Let p p be a prime and S S a finite p p-group. A p p-fusion system on S S is a category whose objects are the subgroups of S and whose morphisms are certain injective group homomorphisms. Fusion systems are of interest in modular representation theory, algebraic topology, and local finite group theory. The book provides a characterization of the 2-fusion systems of the groups of Lie type and odd characteristic, a result analogous to the Classical Involution Theorem for groups. The theorem is the most difficult step in a two-part program. The first part of the program aims to determine a large subclass of the class of simple 2-fusion systems, while part two seeks to use the result on fusion systems to simplify the proof of the theorem classifying the finite simple groups.