Geometry for palindromic automorphism groups of free groups
Group Theory
2007-05-23 v1 Algebraic Topology
Abstract
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 groups, congruence subgroups of , and symmetric automorphism groups of free groups. Cohomological properties of the group are explored by looking at a contractible space on which acts properly with finite quotient. Our results answer some conjectures of Collins and provide a few striking results about the cohomology of , such as that its rational cohomology is zero at the vcd.
Cite
@article{arxiv.math/0112190,
title = {Geometry for palindromic automorphism groups of free groups},
author = {Henry H Glover and Craig A. Jensen},
journal= {arXiv preprint arXiv:math/0112190},
year = {2007}
}