Group actions on spheres with rank one isotropy
Geometric Topology
2026-04-13 v5 Algebraic Topology
Abstract
Let G be a rank two finite group, and let 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 , whose fixed sets are homotopy spheres. Our construction provides an infinite family of new non-linear G-CW-complex examples.
Cite
@article{arxiv.1302.0507,
title = {Group actions on spheres with rank one isotropy},
author = {Ian Hambleton and Ergun Yalcin},
journal= {arXiv preprint arXiv:1302.0507},
year = {2026}
}
Comments
26 pages. Trans. Amer. Math. Soc. (final version); sequel to "Homotopy Representations over the Orbit Category", Homology, Homotopy and Applications (arXiv:1402.3306)