𝐺-coincidences for maps of homotopy spheres into CW-complexes

Gonçalves, Daciberg; Jaworowski, Jan; Pergher, Pedro

doi:10.1090/S0002-9939-02-06435-3

$G$-coincidences for maps of homotopy spheres into CW-complexes
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by Daciberg L. Gonçalves, Jan Jaworowski and Pedro L. Q. Pergher PDF

Proc. Amer. Math. Soc. 130 (2002), 3111-3115 Request permission

Abstract:

Let $G$ be a finite group acting freely in a CW-complex $\Sigma ^{m}$ which is a homotopy $m$-dimensional sphere and let $f:\Sigma ^{m} \to Y$ be a map of $\Sigma ^{m}$ to a finite $k$-dimensional CW-complex $Y$. We show that if $m\geq \vert G\vert k$, then $f$ has an $(H,G)$-coincidence for some nontrivial subgroup $H$ of $G$.

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