Character Theory for the Odd Order Theorem

This book, first published in 2000, is a systematic mathematical study of differential (and more general self-adjoint) operators.

T. Peterfalvi (Author), R. Sandling (Translated by)

9780521646604, Cambridge University Press

Paperback, published 28 February 2000

164 pages
22.9 x 15.2 x 1 cm, 0.25 kg

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.

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.

Subject Areas: Groups & group theory [PBG]