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Feb 26, 2020 at 15:56 comment added abx This doesn't anwer the question,but it is perhaps worth mentioning this preprint by Alain Connes on a possible new approach.
Feb 26, 2020 at 11:17 history edited YCor CC BY-SA 4.0
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May 3, 2011 at 4:05 answer added Geoff Robinson timeline score: 10
Apr 26, 2011 at 6:32 comment added Joshua P. Swanson The Dummit and Foote excercises Dan Ramras mentioned are 4.5.52-56 (3rd Ed., if it matters). I'm not qualified to comment on their relevance, though.
Jul 23, 2010 at 14:06 comment added Someone The proof could be simplified if number theorist were able to proof the Feit-Thompson conjecture (en.wikipedia.org/wiki/Feit%E2%80%93Thompson_conjecture).
Jul 23, 2010 at 14:05 comment added Someone During my stay at the mathematics department at Kiel some professor claimed that H. Bender considered quite a lot of the theory in the book he coauthored with G. Glauberman unnecessary for the proof of the odd order theorem. But I didn't ask H. Bender directly to confirm this statement and don't know any details.
Jul 15, 2010 at 14:49 vote accept Amitesh Datta
Jul 15, 2010 at 13:03 comment added Jim Humphreys The two books cited by Steve D are of course still technical, well beyond Glauberman's short survey: MR1311244 (96h:20036), Bender, Helmut (D-KIEL); Glauberman, George (1-CHI), Local analysis for the odd order theorem. London Mathematical Society Lecture Note Series, 188. Cambridge University Press, Cambridge, 1994. MR1747393 Peterfalvi, Thomas (F-PARIS7), Character theory for the odd order theorem. Translated from the 1986 French original by Robert Sandling and revised by the author. London Mathematical Society Lecture Note Series, 272. Cambridge University Press, Cambridge, 2000.
Jul 14, 2010 at 17:09 answer added Noah Snyder timeline score: 25
Jul 14, 2010 at 16:27 comment added Dan Ramras The algebra textbook by Dummit and Foote has a series of exercises somewhere in it that are supposed to be designed to give one a feeling for the proof. However, I don't think there's any character theory in these exercises, and I can't say how much they really convey about the proof. Still, you might try to find them...
Jul 14, 2010 at 10:06 answer added Charles Matthews timeline score: 3
Jul 14, 2010 at 9:05 comment added Steve D The original proof contained lots of character theory and lots of case-by-case analysis. With the general material in Gorenstein presupposed, a shorter and more relaxed proof can be found in the two books "Local Analysis for the Odd Order Theorem" and "Character Theory for the Odd Order Theorem".
Jul 14, 2010 at 8:50 history asked Amitesh Datta CC BY-SA 2.5