Local analysis for the odd order theorem:
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 rev...
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| Weitere beteiligte Personen: | , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1994
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| Schriftenreihe: | London Mathematical Society lecture note series
188 |
| Links: | https://doi.org/10.1017/CBO9780511665592 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xi, 174 Seiten) |
| ISBN: | 9780511665592 |
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| 100 | 1 | |a Bender, Helmut |d 1942- | |
| 245 | 1 | 0 | |a Local analysis for the odd order theorem |c Helmut Bender and George Glauberman, with the assistance of Walter Carlip |
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| 490 | 1 | |a London Mathematical Society lecture note series |v 188 | |
| 520 | |a 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. | ||
| 700 | 1 | |a Carlip, Walter |d 1956- | |
| 700 | 1 | |a Glauberman, G. |d 1941- | |
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| spelling | Bender, Helmut 1942- Local analysis for the odd order theorem Helmut Bender and George Glauberman, with the assistance of Walter Carlip Cambridge Cambridge University Press 1994 1 Online-Ressource (xi, 174 Seiten) txt c cr London Mathematical Society lecture note series 188 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. Carlip, Walter 1956- Glauberman, G. 1941- Erscheint auch als Druck-Ausgabe 9780521457163 |
| spellingShingle | Bender, Helmut 1942- Local analysis for the odd order theorem |
| title | Local analysis for the odd order theorem |
| title_auth | Local analysis for the odd order theorem |
| title_exact_search | Local analysis for the odd order theorem |
| title_full | Local analysis for the odd order theorem Helmut Bender and George Glauberman, with the assistance of Walter Carlip |
| title_fullStr | Local analysis for the odd order theorem Helmut Bender and George Glauberman, with the assistance of Walter Carlip |
| title_full_unstemmed | Local analysis for the odd order theorem Helmut Bender and George Glauberman, with the assistance of Walter Carlip |
| title_short | Local analysis for the odd order theorem |
| title_sort | local analysis for the odd order theorem |
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