4 papers · 1 filter
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}=…
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…
On pyramidal groups whose number of involutions is a prime power
Xiaofang Gao, Martino Garonzi
A Kirkman Triple System is called -pyramidal if there exists a subgroup of the automorphism group of that fixes points and acts regularly on the other points.…
Bounds in terms of the number of cyclic subgroups
Xiaofang Gao, Martino Garonzi
A family of groups is called (maximal) cyclic bounded ((M)CB) if, for every natural number , there are only finitely many groups in the family with at most (maximal) cyclic…