000			02959nam a22003858i 4500
001			CR9780511665592
003			UkCbUP
005			20200124160234.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			091217s1994||||enk o ||1 0|eng|d
020			_a9780511665592 (ebook)
020			_z9780521457163 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA177 _b.B46 1994
082	0	0	_a512/.2 _220
100	1		_aBender, Helmut, _d1942- _eauthor.
245	1	0	_aLocal analysis for the odd order theorem / _cHelmut Bender and George Glauberman, with the assistance of Walter Carlip.
264		1	_aCambridge : _bCambridge University Press, _c1994.
300			_a1 online resource (xi, 174 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v188
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aCh. I. Preliminary Results. 1. Elementary Properties of Solvable Groups. 2. General Results on Representations. 3. Actions of Frobenius Groups and Related Results. 4. p-Groups of Small Rank. 5. Narrow p-Groups. 6. Additional Results -- Ch. II. The Uniqueness Theorem. 7. The Transitivity Theorem. 8. The Fitting Subgroup of a Maximal Subgroup. 9. The Uniqueness Theorem -- Ch. III. Maximal Subgroups. 10. The Subgroups M[subscript [alpha]] and A[subscript [sigma]]. 11. Exceptional Maximal Subgroups. 12. The Subgroup E. 13. Prime Action -- Ch. IV. The Family of All Maximal Subgroups of G. 14. Maximal Subgroups of Type [actual symbol not reproducible] and Counting Arguments. 15. The Subgroup M[subscript F]. 16. The Main Results -- App. A: Prerequisites and p-Stability -- App. B: The Puig Subgroup -- App. C: The Final Contradiction -- App. D: CN-Groups of Odd Order -- App. E: Further Results of Feit and Thompson.
520			_aIn 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.
650		0	_aFeit-Thompson theorem.
650		0	_aSolvable groups.
700	1		_aGlauberman, G., _d1941- _eauthor.
700	1		_aCarlip, Walter, _d1956- _eauthor.
776	0	8	_iPrint version: _z9780521457163
830		0	_aLondon Mathematical Society lecture note series ; _v188.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511665592
999			_c517928 _d517926