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- W4287688006 abstract "We show that every oriented $n$-dimensional Poincar'e duality group over a $*$-ring $R$ is amenable or satisfies a linear homological isoperimetric inequality in dimension $n-1$. As an application, we prove the Tits alternative for such groups when $n=2$. We then deduce a new proof of the fact that when $n=2$ and $R = mathbb Z$ then the group in question is a surface group." @default.
- W4287688006 created "2022-07-26" @default.
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- W4287688006 date "2020-08-18" @default.
- W4287688006 modified "2023-09-23" @default.
- W4287688006 title "Isoperimetric inequalities for Poincar'e duality groups" @default.
- W4287688006 doi "https://doi.org/10.48550/arxiv.2008.07812" @default.
- W4287688006 hasPublicationYear "2020" @default.
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