Automorphisms of free groups with boundaries
几何拓扑
2014-10-01 v2 代数拓扑
摘要
The automorphisms of free groups with boundaries form a family of groups A_{n,k} closely related to mapping class groups, with the standard automorphisms of free groups as A_{n,0} and (essentially) the symmetric automorphisms of free groups as A_{0,k}. We construct a contractible space L_{n,k} on which A_{n,k} acts with finite stabilizers and finite quotient space and deduce a range for the virtual cohomological dimension of A_{n,k}. We also give a presentation of the groups and calculate their first homology group.
引用
@article{arxiv.math/0402166,
title = {Automorphisms of free groups with boundaries},
author = {Craig A. Jensen and Nathalie Wahl},
journal= {arXiv preprint arXiv:math/0402166},
year = {2014}
}
备注
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-25.abs.html