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- W1569245445 abstract "A combination of Bestvina–Brady Morse theory and an acyclic reflection group trick produces a torsion-free finitely presented $mathbb{Q}$-Poincaré duality group which is not the fundamental group of an aspherical closed ANR $mathbb{Q}$-homology manifold. The acyclic construction suggests asking which $mathbb{Q}$-Poincaré duality groups act freely on $mathbb{Q}$-acyclic spaces (i.e., which groups are $operatorname{FH} (mathbb{Q})$). For example, the orbifold fundamental group $Gamma$ of a good orbifold satisfies $mathbb{Q}$-Poincaré duality, and we show $Gamma$ is $operatorname{FH} (mathbb{Q})$ if the Euler characteristics of certain fixed sets vanish." @default.
- W1569245445 created "2016-06-24" @default.
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- W1569245445 date "2012-01-01" @default.
- W1569245445 modified "2023-09-26" @default.
- W1569245445 title "Finiteness properties for some rational Poincaré duality groups" @default.
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- W1569245445 doi "https://doi.org/10.1215/ijm/1385129948" @default.
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