Group actions on spheres with rank one isotropy
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2013
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| _version_ | 1866917398683058176 |
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| author | Hambleton, Ian Yalcin, Ergun |
| author_facet | Hambleton, Ian Yalcin, Ergun |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1302_0507 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Group actions on spheres with rank one isotropy Hambleton, Ian Yalcin, Ergun Geometric Topology Algebraic Topology 57S17, 55U15, 20J05, 18Gxx 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. |
| title | Group actions on spheres with rank one isotropy |
| topic | Geometric Topology Algebraic Topology 57S17, 55U15, 20J05, 18Gxx |
| url | https://arxiv.org/abs/1302.0507 |