Patricia Medina Capilla

collaborators

2 papers

math.GR2026

The structure and generation of the second maximal subgroups of the almost simple groups with alternating, classical or sporadic socle

Let $G$ be an almost simple group whose socle is an alternating, classical, or sporadic group, and let $H$ be a non-parabolic maximal subgroup of $G$ . We prove that any maximal sub…

math.GR2025

Finite groups with the minimal generating set exchange property

Andrea Lucchini, Patricia Medina Capilla

Let $d (G)$ be the smallest cardinality of a generating set of a finite group $G .$ We give a complete classification of the finite groups with the property that, whenever $ \langle…