Characterizing finite solvable groups through the nilpotency probability
Group Theory
2026-04-07 v1
Abstract
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 solvable.
Cite
@article{arxiv.2604.04534,
title = {Characterizing finite solvable groups through the nilpotency probability},
author = {Andrea Lucchini},
journal= {arXiv preprint arXiv:2604.04534},
year = {2026}
}