Character Theory for the Odd Order Theorem

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Cambridge University Press, Feb 28, 2000 - Mathematics - 154 pages
The famous theorem of W. Feit and J. G. Thompson states that every group of odd order is solvable, and the proof of this has roughly two parts. The first appeared in Bender and Glauberman's Local Analysis for the Odd Order Theorem, number 188 in this series. The present book provides the character-theoretic second part and completes the proof. Thomas Peterfalvi also offers a revision of a theorem of Suzuki on split BN-pairs of rank one, a prerequisite for the classification of finite simple groups.
 

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Contents

V
5
VI
10
VII
15
VIII
21
IX
25
X
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XI
38
XII
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XXIII
100
XXIV
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XXV
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XXVI
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XXVII
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XXVIII
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XXIX
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XXXI
123

XIII
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XIV
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XV
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XVI
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XVII
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XVIII
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XIX
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XX
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XXI
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XXII
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XXXII
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XXXIII
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XXXIV
135
XXXV
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XXXVI
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XXXVIII
144
XL
151
XLI
153
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