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arxiv: 1008.2911 · v2 · pith:XDIJAHHBnew · submitted 2010-08-17 · 🧮 math.GR

Simple groups without lattices

classification 🧮 math.GR
keywords groupslatticessimpleadmitalmostautomorphismscompactcompactly
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We show that the group of almost automorphisms of a d-regular tree does not admit lattices. As far as we know this is the first such example among (compactly generated) simple locally compact groups.

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