Homology of Holomorphs of Free Groups

  title={Homology of Holomorphs of Free Groups},
  author={Craig A. Jensen},
The holomorph of a free group Fn is the semidirect product Fn oAut(Fn). Using the methods of Hatcher and Vogtmann in [10] and [11], 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… CONTINUE READING