Character Theory for the Odd Order Theorem

ISBN-13: 9780521646604 / Angielski / Miękka / 2000 / 164 str.

T. Peterfalvi

Opis

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.

Spis treści

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.