6 papers · 1 filter
Cohomoloy of
Craig A. Jensen
We calculate the homology of automorphism groups of free groups in various cases. The author would like to thank his thesis advisor Karen Vogtmann.
Cohomology of in the p-rank two case
Craig A. Jensen
For odd primes p, we examine , the Farrell cohomology of the group of automorphisms of a free group on generators, with c…
Geometry for palindromic automorphism groups of free groups
Henry H Glover, Craig A. Jensen
We examine the palindromic automorphism group of a free group , a group first defined by Collins which is related to hyperelliptic involutions of mapping class group…
Contractibility of fixed point sets of auter space
Craig A. Jensen
We show that for every finite subgroup of , the fixed point subcomplex is contractible, where is the free group on letters and is the spine of…
Stable rational cohomology of automorphism groups of free groups and the integral cohomology of moduli spaces of graphs
Craig A. Jensen
It is not known whether or not the stable rational cohomology groups $\tilde H^*(Aut(F_\infty);\Q)$ always vanish. We show that either the rational cohomology does not vanish in ce…
Homology of holomorphs of free groups
Craig A. Jensen
The holomorph of a free group is the semidirect product . Using the methods of Hatcher and Vogtmann, we derive stability results and calculate the mod-$…