{"product_id":"local-analysis-for-the-odd-order-theorem-paperback-9780521457163","title":"Local Analysis for the Odd Order Theorem (Paperback) 9780521457163","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eLocal Analysis for the Odd Order Theorem\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThe book presents a new version of the local analysis section of the Feit–Thompson theorem.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eHelmut Bender (Author), George Glauberman (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521457163, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 27 January 1995\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e188 pages\u003cbr\u003e22.9 x 15.2 x 1.1 cm, 0.28 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'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\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eIn 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Preliminary Results: 1. Notation and elementary properties of solvable groups\u003cbr\u003e 2. General results on representations\u003cbr\u003e 3. Actions of Frobenius groups and related results\u003cbr\u003e 4. p-Groups of small rank\u003cbr\u003e 5. Narrow p-groups\u003cbr\u003e 6. Additional results\u003cbr\u003e Part II. The Uniqueness Theorem: 7. The transitivity theorem\u003cbr\u003e 8. The fitting subgroup of a maximal subgroup\u003cbr\u003e 9. The uniqueness theorem\u003cbr\u003e Part III. Maximal Subgroups: 10. The subgroups Ma and Me\u003cbr\u003e 11. Exceptional maximal subgroups\u003cbr\u003e 12. The subgroup E\u003cbr\u003e 13. Prime action\u003cbr\u003e Part IV. The Family of All Maximal Subgroups of G: 14. Maximal subgroups of type p and counting arguments\u003cbr\u003e 15. The subgroup Mf\u003cbr\u003e 16. The main results\u003cbr\u003e Appendix\u003cbr\u003e Prerequisites and p-stability.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Groups \u0026amp; group theory [\u003ca title=\"See our other books on Groups \u0026amp; group theory\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Groups%20\u0026amp;%20group%20theory%20%5BPBG%5D%22\"\u003ePBG\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46005917810968,"sku":"9780521457163","price":58.46,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521457163i_c7c26deb-46c2-4f2c-b18c-aa1e923b7282.jpg?v=1691382345","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/local-analysis-for-the-odd-order-theorem-paperback-9780521457163","provider":"Freshly Printed Books","version":"1.0","type":"link"}