Cohomology of $Aut(F_n)$ in the p-rank two case
| dc.creator | Jensen, Craig A. | |
| dc.date | 2001-12-18 | |
| dc.date.accessioned | 2026-07-07T04:45:20Z | |
| dc.date.available | 2026-07-07T04:45:20Z | |
| dc.description | For odd primes p, we examine $\hat H^*(Aut(F_{2(p-1)}); \Z_{(p)})$, the Farrell cohomology of the group of automorphisms of a free group $F_{2(p-1)}$ on $2(p-1)$ generators, with coefficients in the integers localized at the prime $(p) \subset \Z$. This extends results by Glover and Mislin, whose calculations yield $\hat H^*(Aut(F_n); \Z_{(p)})$ for $n \in \{p-1,p\}$ and is concurrent with work by Chen where he calculates $\hat H^*(Aut(F_n); \Z_{(p)})$ for $n \in \{p+1,p+2\}$. The main tools used are Ken Brown's ``normalizer spectral sequence'', a modification of Krstic and Vogtmann's proof of the contractibility of fixed point sets for outer space, and a modification of the Degree Theorem of Hatcher and Vogtmann. | |
| dc.identifier | https://arxiv.org/abs/math/0112191 | |
| dc.identifier | http://arxiv.org/abs/math/0112191 | |
| dc.identifier | J. Pure Appl. Alg. 158 (2001) 41-81 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62917 | |
| dc.subject | Group Theory | |
| dc.subject | Algebraic Topology | |
| dc.subject | 20F32, 20J05; 20F28, 55N91, 05C25 | |
| dc.title | Cohomology of $Aut(F_n)$ in the p-rank two case | |
| dc.type | text |