Group actions on spheres with rank one prime power isotropy

Ian Hambleton; Ergun Yalcin

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arXiv · 1503.06298

Group actions on spheres with rank one prime power isotropy

Ian Hambleton·Ergun Yalcin

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Abstract

We show that a rank two finite group G admits a finite G-CW-complex X homotopy equivalent to a sphere, with rank one prime power isotropy, if and only if G does not p'-involve Qd(p) for any odd prime p. This follows from a more general theorem which allows us to construct a finite G-CW-complex by gluing together a given G-invariant family of representations defined on the Sylow subgroups of G.

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Ian Hambleton, Ergun Yalcin. 2015-03-21. Group actions on spheres with rank one prime power isotropy. https://arxiv.org/abs/1503.06298

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