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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
Profinite groups with many elements with large nilpotentizer and generalizations
Martino Garonzi, Andrea Lucchini, Nowras Otmen
Given a profinite group and a family of finite groups closed under taking subgroups, direct products and quotients, denote by the set of elements…