Abstract

Abstract:

In an earlier paper, one of the authors constructed uncountable families of groups of type $FP$ and of $n$-dimensional Poincar\'e duality groups for each $n\geq 4$. We show that those groups comprise uncountably many quasi-isometry classes. We deduce that for each $n\geq 4$ there are uncountably many quasi-isometry classes of acyclic $n$-manifolds admitting free cocompact properly discontinuous discrete group actions.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1931-1944
Launched on MUSE
2020-11-11
Open Access
No
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