Twisted homological stability for extensions and automorphism groups of free nilpotent groups
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Twisted homological stability for extensions and automorphism groups of free nilpotent groups. / Szymik, Markus.
I: Journal of K-Theory, Bind 14, Nr. 1, 2014, s. 185-201.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Twisted homological stability for extensions and automorphism groups of free nilpotent groups
AU - Szymik, Markus
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
U2 - 10.1017/is014005031jkt267
DO - 10.1017/is014005031jkt267
M3 - Journal article
VL - 14
SP - 185
EP - 201
JO - Journal of K-Theory
JF - Journal of K-Theory
SN - 1865-2433
IS - 1
ER -
ID: 137421908