LMS: 188 Local Analysis Order Thm (London Mathematical Society Lecture Note Series, Series Number 188) - Softcover

Bender, Helmut

Softcover

ISBN 10: 0521457165 ISBN 13: 9780521457163

Publisher: Cambridge University Press, 2008

Synopsis

In 1963 Walter Feit and John G. Thompson published a proof of a 1911 conjecture by Burnside that every finite group of odd order is solvable. This proof, which ran for 255 pages, was a tour-de-force of mathematics and inspired intense effort to classify finite simple groups. This book presents a revision and expansion of the first half of the proof of the Feit–Thompson theorem. Simpler, more detailed proofs are provided for some intermediate theorems. Recent results are used to shorten other proofs. The book will make the first half of this remarkable proof accessible to readers familiar with just the rudiments of group theory.

About this title

Review:

'This book is written well ... the authors have succeeded both in simplifying the proof of the Odd Order Theorem and in making it accessible to a wider audience.' Paul Flavell, Bulletin of the London Mathematical Society

Book Description:

This book presents a new version of the local analysis section of the Feit–Thompson theorem. It includes a recent (1991) significant improvement by Feit and Thompson and a short revision by T. Peterfalvi of the separate final section of the second half of the proof.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2008
• ISBN 10: 0521457165
• ISBN 13: 9780521457163
• Binding: Paperback
• Number of pages: 188