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Rank gradient in profinite groups

Presented by: 
Nikolay Nikolov
Date: 
Tuesday 17th March 2020 - 14:30 to 15:30
Venue: 
INI Seminar Room 1
Abstract: 
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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons