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Sep 23, 2018 at 14:39 comment added Dylan Wilson Gray's argument is to prove that the inversion map $x \mapsto x^{-1}$ is an H-space map (using a general lemma about involutions of fiber sequences of H-spaces applied to the EHP fiber sequence). This raises the question of finding the best $k$ such that $x \mapsto x^{-1}$ is an $A_k$-space map. I'd guess $k=p-1$.
Sep 23, 2018 at 12:55 vote accept Neil Strickland
Sep 23, 2018 at 11:53 history undeleted Tyrone
Sep 23, 2018 at 11:52 history edited Tyrone CC BY-SA 4.0
Everything.
Nov 19, 2017 at 7:23 history deleted Tyrone via Vote
Nov 19, 2017 at 7:17 history answered Tyrone CC BY-SA 3.0