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- W3056563418 abstract "We show that every oriented $n$-dimensional Poincare 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.
- W3056563418 created "2020-08-24" @default.
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- W3056563418 date "2020-08-18" @default.
- W3056563418 modified "2023-09-27" @default.
- W3056563418 title "Isoperimetric inequalities for Poincar'e duality groups" @default.
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