Homotopy types of orbit spaces and their self-equivalences for the periodic groups Z/a \rtimes (Z/b x T^\star_n) and Z/a \rtimes (Z/b x O^\star_n)
| dc.creator | Golasinski, Marek | |
| dc.creator | Goncalves, Daciberg Lima | |
| dc.date | 2006-02-21 | |
| dc.date.accessioned | 2026-07-07T07:03:38Z | |
| dc.date.available | 2026-07-07T07:03:38Z | |
| dc.description | Let G be a finite group given in one of the forms listed in the title with period 2d and X(n) an n-dimensional CW-complex with the homotopy type of an n-sphere. We study the automorphism group Aut(G) to compute the number of distinct homotopy types of orbit spaces X(2dn-1)/μwith respect to free and cellular G-actions μon all CW-complexes X(2dn-1). At the end, the groups E(X(2dn-1)/μ) of self homotopy equivalences of orbit spaces X(2dn-1)/μassociated with free and cellular G-actions μon X(2dn-1) are determined. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0602452 | |
| dc.identifier | http://arxiv.org/abs/math/0602452 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109046 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Group Theory | |
| dc.subject | 55M35, 55P15 (Primary) 20E22, 20F28, 57S17 (Secondary) | |
| dc.title | Homotopy types of orbit spaces and their self-equivalences for the periodic groups Z/a \rtimes (Z/b x T^\star_n) and Z/a \rtimes (Z/b x O^\star_n) | |
| dc.type | text |