Corpus ID: 227209361

Subgroup induction property for branch groups.

  title={Subgroup induction property for branch groups.},
  author={Dominik Francoeur and Paul-Henry Leemann},
  journal={arXiv: Group Theory},
Recently, the so-called subgroup induction property attracted the attention of mathematicians working with branch groups. It was for example used to prove that groups with this property are subgroup separable (locally extensively residually finite) or to describe their finitely generated subgroups as well as their weakly maximal subgroups. Alas, until now, there were only two know examples of groups with this property: the first Grigorchuk group and the Gupta-Sidki $3$-group. The aim of this… 


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