Topological finite generation of compact open subgroups of universal groups

Marc Burger; Shahar Mozes

Topological finite generation of compact open subgroups of universal groups

Group Theory 2017-03-30 v1

Authors: Marc Burger , Shahar Mozes

Abstract

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.

Keywords

finite permutation groups compact open subgroups universal groups topological finite generation positive finite generation

Cite

@article{arxiv.1703.10101,
  title  = {Topological finite generation of compact open subgroups of universal groups},
  author = {Marc Burger and Shahar Mozes},
  journal= {arXiv preprint arXiv:1703.10101},
  year   = {2017}
}

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