Equivariant Nielsen invariants for discrete groups
| dc.creator | Weber, Julia | |
| dc.date | 2006-06-22 | |
| dc.date.accessioned | 2026-07-07T07:17:34Z | |
| dc.date.available | 2026-07-07T07:17:34Z | |
| dc.description | For discrete groups G, we introduce equivariant Nielsen invariants. They are equivariant analogs of the Nielsen number and give lower bounds for the number of fixed point orbits in the G-homotopy class of an equivariant endomorphism f:X->X. Under mild hypotheses, these lower bounds are sharp. We use the equivariant Nielsen invariants to show that a G-equivariant endomorphism f is G-homotopic to a fixed point free G-map if the generalized equivariant Lefschetz invariant of f is zero. Finally, we prove a converse of the equivariant Lefschetz fixed point theorem. | |
| dc.description | 17 pages, submitted to Pacific Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0606561 | |
| dc.identifier | http://arxiv.org/abs/math/0606561 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113987 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55M20, 57R91 (Primary); 54H25, 57S99 (Secondary) | |
| dc.title | Equivariant Nielsen invariants for discrete groups | |
| dc.type | text |