Group actions on spheres with rank one prime power isotropy
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2015
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| _version_ | 1866915929975160832 |
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| author | Hambleton, Ian Yalcin, Ergun |
| author_facet | Hambleton, Ian Yalcin, Ergun |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1503_06298 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Group actions on spheres with rank one prime power isotropy Hambleton, Ian Yalcin, Ergun Geometric Topology Algebraic Topology 57S17, 55U15, 18Gxx 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. |
| title | Group actions on spheres with rank one prime power isotropy |
| topic | Geometric Topology Algebraic Topology 57S17, 55U15, 18Gxx |
| url | https://arxiv.org/abs/1503.06298 |