Homology of holomorphs of free groups
Abstract
The holomorph of a free group Fn is the semidirect product Fn Aut(Fn). 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(Fn) acts by first projecting to Gln() and then including in Gln()) homology H*(Aut(Fn); n) follow in corresponding dimensions.
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