Homology of holomorphs of free groups
Craig A. Jensen
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.
Create a lesson
Related papers
Lifts of Brauer characters and vertex pairs for odd primes
Yong Yang
Galois's lost proof on PSL(2,p)
Péter P. Pálfy
Large orbits of p-groups on conjugacy classes
Thomas Michael Keller
Assouad--Nagata dimension of systolic complexes with almost flat intervals
Martín Blufstein, Victor Chepoi, Huaitao Gui et al.
Conjugator length of Bestvina-Brady groups
Jerónimo García-Mejía, Matteo Migliorini
Morse accessibility with applications to Coxeter groups
Matthew Cordes, Annette Karrer, Kim Ruane