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

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

2010-01-26

arxiv.org/abs/1001.4760v1

Mathematics

Algebraic Topology

Version published in Morfismos Vol. 13, No. 2, 2009, pp. 55-60

Scientific paper

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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