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Twisted homological stability for extensions and automorphism groups of free nilpotent groups

Published online by Cambridge University Press:  30 June 2014

Markus Szymik
Markus Szymik*
Affiliation:
Department of Mathematical Sciences, University of Copenhagen, 2100 Copenhagen, Denmark
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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

Homological stability19B1420F28
Type
Research Article
Information
Journal of K-Theory , Volume 14 , Issue 1 , August 2014 , pp. 185 - 201
Copyright
Copyright © ISOPP 2014 

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