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Probabilistic finiteness properties for profinite groups

Probabilistic finiteness properties for profinite groups
Datum:

19.07.2018

Ort:

2.059 (20.30)

Referent:

Matteo Vannacci

Zeit:

15:45

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.