Pub. Date:
Cambridge University Press
Character Theory for the Odd Order Theorem

Character Theory for the Odd Order Theorem


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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.

Product Details

ISBN-13: 9780521646604
Publisher: Cambridge University Press
Publication date: 02/28/2000
Series: London Mathematical Society Lecture Note Series , #272
Pages: 162
Product dimensions: 5.98(w) x 8.98(h) x 0.39(d)

Table of Contents

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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