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Book Categories |
Introduction | ||
I | Rank One Groups | |
On the structure of rank one groups | 17 | |
Quadratic modules | 30 | |
Rank one groups and buildings | 41 | |
Structure and embeddings of special rank one groups | 54 | |
II | Abstract Root Subgroups | |
Basic Properties of groups generated by abstract root subgroups | 83 | |
Triangle groups | 101 | |
The radical R(G) | 113 | |
Abstract root subgroups and Lie type groups | 125 | |
III | Classification Theory | |
Abstract transvection groups | 152 | |
The action of G on [Sigma] | 162 | |
The linear groups and E[subscript 6][superscript K] | 182 | |
Moufang hexagons | 195 | |
The orthogonal groups | 201 | |
D[subscript 4] (k) | 217 | |
Metasymplectic spaces | 230 | |
E[subscript 6](k), E[subscript 7](k) and E[subscript 8](k) | 243 | |
The classification theorems | 252 | |
IV | Root involutions | |
General properties of groups generated by root involutions | 259 | |
Root subgroups | 277 | |
The Root Structure Theorem | 290 | |
The Rank Two Case | 302 | |
V | Applications | |
Quadratic pairs | 313 | |
Subgroups generated by root elements | 338 | |
Local BN-pairs | 358 | |
References | 373 | |
Symbol Index | 380 | |
Index | 387 |
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Add 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 to the inventory that you are selling on WonderClubX
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Add 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 to your collection on WonderClub |