Twisted homological stability for extensions and automorphism groups of free nilpotent groups
Group Theory
2014-10-15 v1 Algebraic Topology
Geometric Topology
K-Theory and Homology
Abstract
We prove twisted homological stability with polynomial coefficients for automorphism groups of free nilpotent groups of any given class. These groups interpolate between two extremes for which homological stability was known before, the general linear groups over the integers and the automorphism groups of free groups. The proof presented here uses a general result that applies to arbitrary extensions of groups, and that has other applications as well.
Keywords
Cite
@article{arxiv.1401.5215,
title = {Twisted homological stability for extensions and automorphism groups of free nilpotent groups},
author = {Markus Szymik},
journal= {arXiv preprint arXiv:1401.5215},
year = {2014}
}
Comments
17 pages