Finite Groups

Couverture
American Mathematical Soc., 2007 - 519 pages
"The Classification Theorem is one of the main achievements of 20th century mathematics, but its proof has not yet been completely extricated from the journal literature in which it first appeared. This is the second volume in a series devoted to the presentation of a reorganized and simplified proof of the classification of the finite simple groups. The authors present (with either proof or reference to a proof) those theorems of abstract finite group theory, which are fundamental to the analysis in later volumes in the series. This volume provides a relatively concise and readable access to the key ideas and theorems underlying the study of finite simple groups and their important subgroups. The sections on semisimple subgroups and subgroups of parabolic type give detailed treatments of these important subgroups, including some results not available until now or available only in journal literature. The signalizer section provides an extensive development of both the Bender Method and the Signalizer Functor Method, which play a central role in the proof of the Classification Theorem. This book would be a valuable companion text for a graduate group theory course."--Publisher's website
 

Table des matières

I
xiii
II
1
III
3
IV
15
V
58
VI
112
VII
172
VIII
217
XII
331
XIII
333
XIV
358
XV
373
XVI
378
XVII
399
XVIII
417
XIX
441

IX
238
X
267
XI
300
XX
443
XXI
489
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