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

Department of Mathematics

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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

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10.1515/CRELLE.2009.090

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

Cite this

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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",

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

issn = "0075-4102",

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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

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