I read last year that Atiyah thought he had found a proof of the odd order theorem of only 12 pages, using $K$-theory, and that people were trying to figure out if it was correct or not. But I never heard about it afterwards. Did people actually go through it? Was it correct or not?

  • $\begingroup$ Is that the Feit-Thompson theorem: every group of odd order is solvable? $\endgroup$ – DonAntonio Jun 11 '18 at 16:33
  • $\begingroup$ Yes! I edited the question $\endgroup$ – frafour Jun 11 '18 at 16:36
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    $\begingroup$ As far as I can tell, it has neither been published, nor put on a public website (such as arxiv). $\endgroup$ – Lord Shark the Unknown Jun 11 '18 at 17:39
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    $\begingroup$ MO thread: mathoverflow.net/questions/273828/… $\endgroup$ – Qiaochu Yuan Jun 11 '18 at 17:43
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    $\begingroup$ I was in Heidelberg 2017 where Atiyah was circulating a proof of FT, but reading it with other people we found at least one mistake. I don't recall it involving any K theory, but perhaps my memory fails me. $\endgroup$ – Pedro Tamaroff Sep 21 '18 at 11:12

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