Qd(p)-free rank two finite groups act freely on a homotopy product of two spheres
| dc.creator | Jackson, Michael A. | |
| dc.date | 2005-03-31 | |
| dc.date | 2005-12-02 | |
| dc.date.accessioned | 2026-07-07T06:39:41Z | |
| dc.date.available | 2026-07-07T06:39:41Z | |
| dc.description | In this paper we show that most rank two groups act freely on a finite homotopy product of two spheres. This makes new progress on a conjecture by Benson and Carlson which states that a finite group G acts freely on a finite complex with the homotopy type of n spheres if the rank of G is less than or equal to n. Recalling that Qd(p) is the semidirect product of a rank two elementary abelian p-group with SL(2,p), we show that a rank two finite group acts freely on a finite CW-complex homotopic to the product of two spheres if, it does not contain any subquotient isomorphic to Qd(p) for any odd prime p. | |
| dc.description | 16 pages; renamed from "Most rank two finite groups act freely on a homotopy product of two spheres"; corrections to the proofs in sections 4 and 5; also more group theory background has been included | |
| dc.identifier | https://arxiv.org/abs/math/0503746 | |
| dc.identifier | http://arxiv.org/abs/math/0503746 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101169 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Group Theory | |
| dc.subject | 57Q91; 55R25; 20C15; 20E15 | |
| dc.title | Qd(p)-free rank two finite groups act freely on a homotopy product of two spheres | |
| dc.type | text |