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arXiv:1503.06298 [math.GT]AbstractReferencesReviewsResources

Group actions on spheres with rank one prime power isotropy

Ian Hambleton, Ergun Yalcin

Published 2015-03-21Version 1

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.

Comments: 16 pages
Categories: math.GT, math.AT
Subjects: 57S17, 55U15, 18Gxx
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