Open Access
October, 2000 Cohomology of discrete groups and their finite subgroups
Toshiyuki AKITA
J. Math. Soc. Japan 52(4): 869-875 (October, 2000). DOI: 10.2969/jmsj/05240869


We investigate the cohomology of a group having finite virtual cohomological dimension in terms of the contributions from finite subgroups. As a result, we prove a variant of Quillen's F-isomorphism theorem which remains valid for an arbitrary commutative ring of coefficients and for suitable families of finite subgroups.


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Toshiyuki AKITA. "Cohomology of discrete groups and their finite subgroups." J. Math. Soc. Japan 52 (4) 869 - 875, October, 2000.


Published: October, 2000
First available in Project Euclid: 10 June 2008

zbMATH: 0982.55010
MathSciNet: MR1774633
Digital Object Identifier: 10.2969/jmsj/05240869

Primary: 55R40
Secondary: 20J05 , 55R35

Keywords: Discrete group , Farrell-Tate cohomology , Group cohomology

Rights: Copyright © 2000 Mathematical Society of Japan

Vol.52 • No. 4 • October, 2000
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