Cohomological finiteness conditions for elementary amenable groups

Peter H. Kropholler; Conchita Martinez-Perez; Brita E.A. Nucinkis

doi:10.1515/CRELLE.2009.090

Cohomological finiteness conditions for elementary amenable groups

Peter H. Kropholler
, Conchita Martinez-Perez
, Brita E.A. Nucinkis

Mathematics

Research output: Contribution to journal › Article › peer-review

80 Downloads (Pure)

Abstract

It is proved that every elementary amenable group of type $FP_\infty$ admits a cocompact classifying space for proper actions.

Original language	English
Pages (from-to)	49-62
Number of pages	13
Journal	Journal für die reine und angewandte Mathematik
Volume	637
Early online date	23 Nov 2009
DOIs	https://doi.org/10.1515/CRELLE.2009.090
Publication status	Published - 2009

Access to Document

10.1515/CRELLE.2009.090

CrelleFinal published version, 151 KB

http://www.degruyter.com/view/j/crll.2009.2009.issue-637/crelle.2009.090/crelle.2009.090.xml

Cite this

@article{8638af1f0a8d47509fb1c5da8a1964da,

title = "Cohomological finiteness conditions for elementary amenable groups",

abstract = "It is proved that every elementary amenable group of type \$FP\_\textbackslash{}infty\$ admits a cocompact classifying space for proper actions.",

author = "Kropholler, \{Peter H.\} and Conchita Martinez-Perez and Nucinkis, \{Brita E.A.\}",

year = "2009",

doi = "10.1515/CRELLE.2009.090",

language = "English",

volume = "637",

pages = "49--62",

journal = "Journal f{\"u}r die reine und angewandte Mathematik",

issn = "0075-4102",

publisher = "Walter de Gruyter GmbH",

}

TY - JOUR

T1 - Cohomological finiteness conditions for elementary amenable groups

AU - Kropholler, Peter H.

AU - Martinez-Perez, Conchita

AU - Nucinkis, Brita E.A.

PY - 2009

Y1 - 2009

N2 - It is proved that every elementary amenable group of type $FP_\infty$ admits a cocompact classifying space for proper actions.

AB - It is proved that every elementary amenable group of type $FP_\infty$ admits a cocompact classifying space for proper actions.

U2 - 10.1515/CRELLE.2009.090

DO - 10.1515/CRELLE.2009.090

M3 - Article

SN - 0075-4102

VL - 637

SP - 49

EP - 62

JO - Journal für die reine und angewandte Mathematik

JF - Journal für die reine und angewandte Mathematik

ER -