Group actions on spheres with rank one isotropy

Ian Hambleton; Ergun Yalcin

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arXiv · 1302.0507

Group actions on spheres with rank one isotropy

Ian Hambleton·Ergun Yalcin

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Abstract

Let G be a rank two finite group, and let $\cH$ denote the family of rank one p-subgroups of G, at all primes where G has p-rank two. We show that a rank two finite group G which satisfies certain group-theoretic conditions admits a finite G-CW-complex X with isotropy in $\cH$, whose fixed sets are homotopy spheres. Our construction provides an infinite family of new non-linear G-CW-complex examples.

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BibTeX RIS

Ian Hambleton, Ergun Yalcin. 2013-02-03. Group actions on spheres with rank one isotropy. https://arxiv.org/abs/1302.0507

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