3 papers
math.GR2026
Sectionally indecomposable groups
Andrea Lucchini, Nowras Otmen
We introduce the notion of sectional indecomposability and study it for finite groups: a group is sectionally indecomposable if, whenever is a section of a direct product $…
math.GR2026
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 co…
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…