• Title of article

    Homology of holomorphs of free groups

  • Author/Authors

    Craig A. Jensen، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2004
  • Pages
    14
  • From page
    281
  • To page
    294
  • Abstract
    The holomorph of a free group Fn is the semidirect product Fn Aut(Fn). Using the methods of Hatcher and Vogtmann in [J. London Math. Soc. (2) 58 (1998) 633–635 and Math. Res. Lett. 5 (1998) 759–780], 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 and then including in ) homology follow in corresponding dimensions.
  • Keywords
    automorphism groups , Auter space , Free groups , Holomorphs
  • Journal title
    Journal of Algebra
  • Serial Year
    2004
  • Journal title
    Journal of Algebra
  • Record number

    696474