10 citations · 25 across the 23 of their papers we have counts for
33 papers
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…
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…
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. Su…
On finite groups with the Magnus Property
Martino Garonzi, Claude Marion
We investigate finite groups with the Magnus Property, where a group is said to have the Magnus Property (MP) if whenever two elements have the same normal closure then they are co…
The structure of -pyramidal groups
Xiaofang Gao, Martino Garonzi
A combinatorial block design is called -pyramidal if there exists a subgroup of $\mbox{Aut}(D)$ fixing points and acting regularly on the other points. If this happe…