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math.GR2025
On the conjugacy class exponent of the finite simple groups
Martino Garonzi, Christe Montijo, Alexandre Zalesski
The generalized order of an element of a group is the smallest positive integer such that there exist such that $g^{x_1} \ldots g^{x_k}=…
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…