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Abstract Root Subgroups and Simple Groups of Lie Type Book

Abstract Root Subgroups and Simple Groups of Lie Type
Abstract Root Subgroups and Simple Groups of Lie Type, This book systematically treats the theory of groups generated by a conjugacy class of subgroups, satisfying certain generational properties on pairs of subgroups. For finite groups, this theory has been developed in the 1970s mainly by M. Aschbacher, B. , Abstract Root Subgroups and Simple Groups of Lie Type has a rating of 3 stars
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Abstract Root Subgroups and Simple Groups of Lie Type, This book systematically treats the theory of groups generated by a conjugacy class of subgroups, satisfying certain generational properties on pairs of subgroups. For finite groups, this theory has been developed in the 1970s mainly by M. Aschbacher, B. , Abstract Root Subgroups and Simple Groups of Lie Type
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  • Abstract Root Subgroups and Simple Groups of Lie Type
  • Written by author Franz G. Timmesfeld
  • Published by Springer-Verlag New York, LLC, March 2008
  • This book systematically treats the theory of groups generated by a conjugacy class of subgroups, satisfying certain generational properties on pairs of subgroups. For finite groups, this theory has been developed in the 1970s mainly by M. Aschbacher, B.
  • This book is of interest to mathematicians working in different areas such as finite group theory, classical groups, algebraic and Lie-type groups, buildings and generalized polygons. It will also be welcomed by the graduate student in any of the above su
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Book Categories

Authors

Introduction
IRank One Groups
On the structure of rank one groups17
Quadratic modules30
Rank one groups and buildings41
Structure and embeddings of special rank one groups54
IIAbstract Root Subgroups
Basic Properties of groups generated by abstract root subgroups83
Triangle groups101
The radical R(G)113
Abstract root subgroups and Lie type groups125
IIIClassification Theory
Abstract transvection groups152
The action of G on [Sigma]162
The linear groups and E[subscript 6][superscript K]182
Moufang hexagons195
The orthogonal groups201
D[subscript 4] (k)217
Metasymplectic spaces230
E[subscript 6](k), E[subscript 7](k) and E[subscript 8](k)243
The classification theorems252
IVRoot involutions
General properties of groups generated by root involutions259
Root subgroups277
The Root Structure Theorem290
The Rank Two Case302
VApplications
Quadratic pairs313
Subgroups generated by root elements338
Local BN-pairs358
References373
Symbol Index380
Index387


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Abstract Root Subgroups and Simple Groups of Lie Type, This book systematically treats the theory of groups generated by a conjugacy class of subgroups, satisfying certain generational properties on pairs of subgroups. For finite groups, this theory has been developed in the 1970s mainly by M. Aschbacher, B. , Abstract Root Subgroups and Simple Groups of Lie Type

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Abstract Root Subgroups and Simple Groups of Lie Type, This book systematically treats the theory of groups generated by a conjugacy class of subgroups, satisfying certain generational properties on pairs of subgroups. For finite groups, this theory has been developed in the 1970s mainly by M. Aschbacher, B. , Abstract Root Subgroups and Simple Groups of Lie Type

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Abstract Root Subgroups and Simple Groups of Lie Type, This book systematically treats the theory of groups generated by a conjugacy class of subgroups, satisfying certain generational properties on pairs of subgroups. For finite groups, this theory has been developed in the 1970s mainly by M. Aschbacher, B. , Abstract Root Subgroups and Simple Groups of Lie Type

Abstract Root Subgroups and Simple Groups of Lie Type

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