Character theory for the odd order theorem
著者
書誌事項
Character theory for the odd order theorem
（London Mathematical Society lecture note series, 272）
Cambridge University Press, 2000
- : pbk
- タイトル別名
-
Théorie des charactéres dans le théoreme de Feit et Thompson
Le Théorem de Bender-Suzuki II
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注記
First published in French by Astérisque as: Théorie des charactéres dans le théoreme de Feit et Thompson; and Le Théorem de Bender-Suzuki II
Includes bibliographical references (p. 95, 151) and index
内容説明・目次
内容説明
The famous and important 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 part appeared in Bender and Glauberman's Local Analysis for the Odd Order Theorem which was number 188 in this series. This book, first published in 2000, provides the character-theoretic second part and thus completes the proof. Also included here is a revision of a theorem of Suzuki on split BN-pairs of rank one; a prerequisite for the classification of finite simple groups. All researchers in group theory should have a copy of this book in their library.
目次
- Part I. Character Theory for the Odd Order Theorem
- Part II. A Thereom of Suzuki: 1. General properties of G
- 2. The first case
- 3. The structure of H
- 4. Characterisation of PSU (3, q)
- Appendices.
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