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arXiv · 1001.4760

$K$-theory of $S^7/Q_8$ and a counterexample to a result of P.M. Akhmet'ev

Peter S. Landweber
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Abstract

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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Peter S. Landweber. 2010-01-26. $K$-theory of $S^7/Q_8$ and a counterexample to a result of P.M. Akhmet'ev. https://arxiv.org/abs/1001.4760

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