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arxiv: 1703.10101 · v1 · pith:CPEDI6USnew · submitted 2017-03-29 · 🧮 math.GR

Topological finite generation of compact open subgroups of universal groups

Marc Burger , Shahar Mozes This is my paper
classification 🧮 math.GR
keywords groupscompactfinitefinitelygeneratedopenuniversalactually
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In this paper we characterize the finite permutation groups $F<S_d$ on $d$ letters such that every compact open subgroup of the associated universal group $U(F)<{\rm Aut} T_d$ is topologically finitely generated. Actually we show that in this case the groups are positively finitely generated.

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    math.GR 2026-04 unverdicted novelty 7.0

    Rigidity theorems show cocompact lattices are the unique infinite finitely generated commensurated subgroups up to commensurability in their commensurators, including for automorphism groups of trees.