Craig A. Jensen
Published 2001-12-18, updated 2003-08-13Version 2
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.
Comments: 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
Geometry for palindromic automorphism groups of free groups
Automorphism groups of free groups, surface groups and free abelian groups
On the linearity of the holomorph group of a free group on two generators
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