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

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Twisted homological stability for extensions and automorphism groups of free nilpotent groups. / Szymik, Markus.

In: Journal of K-Theory, Vol. 14, No. 1, 2014, p. 185-201.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Szymik, M 2014, 'Twisted homological stability for extensions and automorphism groups of free nilpotent groups', Journal of K-Theory, vol. 14, no. 1, pp. 185-201. https://doi.org/10.1017/is014005031jkt267

APA

Szymik, M. (2014). Twisted homological stability for extensions and automorphism groups of free nilpotent groups. Journal of K-Theory, 14(1), 185-201. https://doi.org/10.1017/is014005031jkt267

Vancouver

Szymik M. Twisted homological stability for extensions and automorphism groups of free nilpotent groups. Journal of K-Theory. 2014;14(1):185-201. https://doi.org/10.1017/is014005031jkt267

Author

Szymik, Markus. / Twisted homological stability for extensions and automorphism groups of free nilpotent groups. In: Journal of K-Theory. 2014 ; Vol. 14, No. 1. pp. 185-201.

Bibtex

@article{01dc6423f780441688724c86983aa7aa,
title = "Twisted homological stability for extensions and automorphism groups of free nilpotent groups",
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.",
author = "Markus Szymik",
year = "2014",
doi = "10.1017/is014005031jkt267",
language = "English",
volume = "14",
pages = "185--201",
journal = "Journal of K-Theory",
issn = "1865-2433",
publisher = "Cambridge University Press",
number = "1",

}

RIS

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