On the mod - p cohomology of Out(F_{2(p-1)}

Details On the mod - p cohomology of Out(F_{2(p-1)} On the mod - p cohomology of Out(F_{2(p-1)}

2008-11-03

arxiv.org/abs/0811.0236v1

Mathematics

Algebraic Topology

Scientific paper

We study the mod-p cohomology of the group Out(F_n) of outer automorphisms of the free group F_n in the case n=2(p-1) which is the smallest n for which the p-rank of this group is 2. For p=3 we give a complete computation, at least above the virtual cohomological dimension of Out(F_4) (which is 5). More precisley, we calculate the equivariant cohomology of the p-singular part of outer space for p=3. For a general prime p>3 we give a recursive description in terms of the mod-p cohomology of Aut(F_k) for k less or equal to p-1. In this case we use the Out(F_{2(p-1)})-equivariant cohomology of the poset of elementary abelian p-subgroups of Out(F_n).

Affiliated with

Also associated with

No associations

Rating

On the mod - p cohomology of Out(F_{2(p-1)} does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the mod - p cohomology of Out(F_{2(p-1)}, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the mod - p cohomology of Out(F_{2(p-1)} will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-233474