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Profinite closure of characteristic subgroup

Let $F$ be a free group of finite rank, and $K\subset F$ a finite index characteristic subgroup. Let $\hat{F}$ be the profinite completion of $F$ (i.e. a free profinite group of same rank), and $\bar …
ChanaG's user avatar
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2 votes

space of closed subgroups of profinite group

There is a couple of papers by Gartside and Smith dealing with these questions: Counting the Closed Subgroups of Profinite Groups https://arxiv.org/pdf/0809.4734.pdf Classifying Spaces of Subgroups …
ChanaG's user avatar
  • 161