On the mod - p cohomology of Out(F_{2(p-1)}
| dc.creator | Glover, Henry | |
| dc.creator | Henn, Hans-Werner | |
| dc.date | 2008-11-03 | |
| dc.date.accessioned | 2026-07-07T10:14:51Z | |
| dc.date.available | 2026-07-07T10:14:51Z | |
| dc.description | We study the mod-p cohomology of the group Out(F_n) of outer automorphisms of the free group F_n in the case n=2(p-1) which is the smallest n for which the p-rank of this group is 2. For p=3 we give a complete computation, at least above the virtual cohomological dimension of Out(F_4) (which is 5). More precisley, we calculate the equivariant cohomology of the p-singular part of outer space for p=3. For a general prime p>3 we give a recursive description in terms of the mod-p cohomology of Aut(F_k) for k less or equal to p-1. In this case we use the Out(F_{2(p-1)})-equivariant cohomology of the poset of elementary abelian p-subgroups of Out(F_n). | |
| dc.identifier | https://arxiv.org/abs/0811.0236 | |
| dc.identifier | http://arxiv.org/abs/0811.0236 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173028 | |
| dc.subject | Algebraic Topology | |
| dc.title | On the mod - p cohomology of Out(F_{2(p-1)} | |
| dc.type | text |