Cargando…
Local analysis for the odd order theorem /
In 1963 Walter Feit and John G. Thompson proved the Odd Order Theorem, which states that every finite group of odd order is solvable. The influence of both the theorem and its proof on the further development of finite group theory can hardly be overestimated. The proof consists of a set of prelimin...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge [England] ; New York :
Cambridge University Press,
1994.
|
| Colección: | London Mathematical Society lecture note series ;
188. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | In 1963 Walter Feit and John G. Thompson proved the Odd Order Theorem, which states that every finite group of odd order is solvable. The influence of both the theorem and its proof on the further development of finite group theory can hardly be overestimated. The proof consists of a set of preliminary results followed by three parts: local analysis, characters, and generators and relations (Chapters IV, V, and VI of the paper). Local analysis is the study of the centralizers and normalizers of non-identity p-subgroups, with Sylow's Theorem as the first main tool. The main purpose of the book is to present a new version of the local analysis of the Feit-Thompson Theorem (Chapter IV of the original paper and its preliminaries). 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. The book should interest finite group theorists as well as other mathematicians who wish to get a glimpse of one of the most famous and most forbidding theorems in mathematics. Current research may eventually lead to a revised proof of the entire theorem, but this goal is several years away. For the present, the authors are publishing this work as a set of lecture notes to contribute to the general understanding of the theorem and to further improvements. |
|---|---|
| Descripción Física: | 1 online resource (xi, 174 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 167-168) and index. |
| ISBN: | 9781107362024 1107362024 1139886533 9781139886536 1107366933 9781107366930 1107371589 9781107371583 1107368499 9781107368491 1299404650 9781299404656 1107364477 9781107364479 0511892853 9780511892851 0511665598 9780511665592 |