2 papers
math.GR2026
Characterizing finite solvable groups through the nilpotency probability
Andrea Lucchini
Given a finite group , we denote by the probability that two randomly chosen elements of generate a nilpotent subgroup. We prove that if then is solv…
math.GR2024
Generating hypergraphs of finite groups
Andrea Lucchini
In a recent paper Cameron, Lakshmanan and Ajith began an exploration of hypergraphs defined on algebraic structures, especially groups, to investigate whether this can add a new pe…