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- W2247483159 abstract "We investigate a family of groups acting on a regular tree, defined by prescribing the local action almost everywhere. We study lattices in these groups and give examples of compactly generated simple groups of finite asymptotic dimension (actually one) not containing lattices. We also obtain examples of simple groups with simple lattices, and we prove the existence of (infinitely many) finitely generated simple groups of asymptotic dimension one. We also prove various properties of these groups, including the existence of a proper action on a CAT(0) cube complex." @default.
- W2247483159 created "2016-06-24" @default.
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- W2247483159 date "2015-05-06" @default.
- W2247483159 modified "2023-09-27" @default.
- W2247483159 title "Groups acting on trees with almost prescribed local action" @default.
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