3 papers
math.GR2026
Independence and strong independence complexes of finite groups
Andrea Lucchini, Mima Stanojkovski
Let be a finite group. In 2024, Cameron introduced two different concepts of independence (namely independence and strong independence) for the subsets of , yielding to the…
math.GR2025
Finite groups in which every cyclic subgroup is the intersection of maximal subgroups
Andrea Lucchini
We determine the structure of the finite groups with the property that every cyclic subgroup is the intersection of maximal subgroups, comparing this property with the one where al…
math.GR2025
Finite groups with regular subgroup graph
Andrea Lucchini
We prove that the subgroup graph of a finite group is regular if and only if is cyclic with square-free order.