2001/12/18 by Craig A. Jensen, Jensen, Craig A.
Mathematics · #20F28 #20F32 #20J05 #55N91 #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR) #math.AT #math.GR #msc:20F28 #msc:20F32 #msc:20J05 #msc:55N91
paper · pdf · doi:10.48550/arxiv.math/0112187
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
arxiv created 2003/08/13 · arxiv updated 2009/11/30
The holomorph of a free group Fn is the semidirect product Fn \rtimes 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(\Z) and then including in Gln(\Q)) homology H_*(Aut(Fn); \Qn) follow in corresponding dimensions.