Abstract: A profinite group can be equipped with its Haar measure to form a probability space, this allows us to talk about random elements in profinite groups. We say that a profinite group is “positively finitely generated” if the probability that k random elements generate a dense subgroup is positive for some k. One can analogously define “positively finitely related” profinite groups. In this talk I will discuss the possibility of defining higher probabilistic finiteness properties for profinite groups. This is joint work with Ged Corob Cook.

# Probabilistic finiteness properties for profinite groups

Date: | 19.07.2018 |
Place: | 2.059 (20.30) |
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Speaker: | Matteo Vannacci |
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Time: | 15:45 |
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