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Rank gradient in profinite groups

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GRAW03 - Interactions between group theory, number theory, combinatorics and geometry

In this talk I will focus on the growth of generators in open subgroups of profinite groups. In the case of abstract groups this topic has received a lot of attention but in the profinite situation there are not many results and they tend to be different from those for abstract groups. For example a pro-p group of positive rank gradient must have a dense free subgroup. As far as I know the analogous question for profinite groups is still open.

This talk is part of the Isaac Newton Institute Seminar Series series.

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