Poincare duality in P.A. Smith theory
| dc.creator | Allday, Ch. | |
| dc.creator | Hanke, B. | |
| dc.creator | Puppe, V. | |
| dc.date | 2002-05-22 | |
| dc.date.accessioned | 2026-07-07T04:48:38Z | |
| dc.date.available | 2026-07-07T04:48:38Z | |
| dc.description | Let G=S^1, G=Z/p or more generally G be a finite p group, where p is an odd prime number. If G acts on a space whose cohomology ring satisfies Poincare duality (with appropriate coefficients k), we prove a mod 4 congruence between the total Betti number of X^G and a number which depends only on the k[G]-module structure of H^*(X;k). This improves the well known mod 2 congruences that hold for actions on general spaces. | |
| dc.description | 10 pages, to be published in Proc. AMS | |
| dc.identifier | https://arxiv.org/abs/math/0205227 | |
| dc.identifier | http://arxiv.org/abs/math/0205227 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64122 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57S10, 57P10, 55N10 (Primary) 55N91 (Secondary) | |
| dc.title | Poincare duality in P.A. Smith theory | |
| dc.type | text |