K-theory of S⁷/Q₈ and a counterexample to a result of P.M. Akhmet'ev
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counterexampleakhmetinvarianttheoryargumentsgivengrouphopf
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A simple counterexample is presented to a proposition which is used in the arguments given by P. M. Akhmet'ev in his work on the Hopf invariant and Kervaire invariant. The counterexample makes use of the $K$-theory of the quotient of the 7-sphere by the quaternion group of order 8.
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