Classifying spaces with virtually cyclic stabilizers for linear groups

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

Standard

Classifying spaces with virtually cyclic stabilizers for linear groups. / Degrijse, Dieter Dries; Köhl, Ralf ; Petrosyan, Nansen.

In: Transformation Groups, Vol. 20, No. 2, 2015, p. 381-394.

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

Harvard

Degrijse, DD, Köhl, R & Petrosyan, N 2015, 'Classifying spaces with virtually cyclic stabilizers for linear groups', Transformation Groups, vol. 20, no. 2, pp. 381-394. https://doi.org/10.1007/s00031-015-9307-z

APA

Degrijse, D. D., Köhl, R., & Petrosyan, N. (2015). Classifying spaces with virtually cyclic stabilizers for linear groups. Transformation Groups, 20(2), 381-394. https://doi.org/10.1007/s00031-015-9307-z

Vancouver

Degrijse DD, Köhl R, Petrosyan N. Classifying spaces with virtually cyclic stabilizers for linear groups. Transformation Groups. 2015;20(2):381-394. https://doi.org/10.1007/s00031-015-9307-z

Author

Degrijse, Dieter Dries ; Köhl, Ralf ; Petrosyan, Nansen. / Classifying spaces with virtually cyclic stabilizers for linear groups. In: Transformation Groups. 2015 ; Vol. 20, No. 2. pp. 381-394.

Bibtex

@article{33b687237e064f4ba9e5ddf5840df4ed,
title = "Classifying spaces with virtually cyclic stabilizers for linear groups",
abstract = "We show that every discrete subgroup of GL(n, ℝ) admits a finite-dimensional classifying space with virtually cyclic stabilizers. Applying our methods to SL(3, ℤ), we obtain a four-dimensional classifying space with virtually cyclic stabilizers and a decomposition of the algebraic K-theory of its group ring.",
author = "Degrijse, {Dieter Dries} and Ralf K{\"o}hl and Nansen Petrosyan",
year = "2015",
doi = "10.1007/s00031-015-9307-z",
language = "English",
volume = "20",
pages = "381--394",
journal = "Transformation Groups",
issn = "1083-4362",
publisher = "Springer Basel AG",
number = "2",

}

RIS

TY - JOUR

T1 - Classifying spaces with virtually cyclic stabilizers for linear groups

AU - Degrijse, Dieter Dries

AU - Köhl, Ralf

AU - Petrosyan, Nansen

PY - 2015

Y1 - 2015

N2 - We show that every discrete subgroup of GL(n, ℝ) admits a finite-dimensional classifying space with virtually cyclic stabilizers. Applying our methods to SL(3, ℤ), we obtain a four-dimensional classifying space with virtually cyclic stabilizers and a decomposition of the algebraic K-theory of its group ring.

AB - We show that every discrete subgroup of GL(n, ℝ) admits a finite-dimensional classifying space with virtually cyclic stabilizers. Applying our methods to SL(3, ℤ), we obtain a four-dimensional classifying space with virtually cyclic stabilizers and a decomposition of the algebraic K-theory of its group ring.

U2 - 10.1007/s00031-015-9307-z

DO - 10.1007/s00031-015-9307-z

M3 - Journal article

VL - 20

SP - 381

EP - 394

JO - Transformation Groups

JF - Transformation Groups

SN - 1083-4362

IS - 2

ER -

ID: 130053836