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math.GR2025
On probabilistic identities and coset identities in pro- groups
Steffen Kionke, Nowras Otmen, Tommaso Toti +2
It is shown that a probabilistic identity on a -compact -analytic group , a non-archimedean local field, is a coset identity. As an application, one concludes that com…
math.GR2025
On commensurators of free groups and free pro-p groups
Yiftach Barnea, Mikhail Ershov, Adrien Le Boudec +3
We study the commensurators of free groups and free pro- groups, as well as certain subgroups of these. We prove that the commensurator of a non-abelian free group of…