Homology of holomorphs of free groups
| dc.creator | Jensen, Craig A. | |
| dc.date | 2001-12-18 | |
| dc.date | 2003-08-13 | |
| dc.date.accessioned | 2026-07-07T04:45:19Z | |
| dc.date.available | 2026-07-07T04:45:19Z | |
| dc.description | The holomorph of a free group $F_n$ is the semidirect product $F_n \rtimes Aut(F_n)$. Using the methods of Hatcher and Vogtmann, we derive stability results and calculate the mod-$p$ homology of these holomorphs for odd primes $p$ in dimensions 1 and 2, and their rational homology in dimensions 1 through 5. Calculations of the twisted (where $Aut(F_n)$ acts by first projecting to $Gl_n(\Z)$ and then including in $Gl_n(\Q)$) homology $H_*(Aut(F_n); \Q^n)$ follow in corresponding dimensions. | |
| dc.description | Revised using helpful comments of referee. Accepted by J. Algebra. J. Algebra has agreed to host the Maple program files (currently on my web page) on their site | |
| dc.identifier | https://arxiv.org/abs/math/0112187 | |
| dc.identifier | http://arxiv.org/abs/math/0112187 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62913 | |
| dc.subject | Group Theory | |
| dc.subject | Algebraic Topology | |
| dc.subject | 20F32, 20J05; 20F28, 55N91 | |
| dc.title | Homology of holomorphs of free groups | |
| dc.type | text |