Characterizing finite solvable groups through the nilpotency probability
Year: 2026
Type: preprint
Abstract: Given a finite group $G$, we denote by $ν(G)$ the probability that two randomly chosen elements of $G$ generate a nilpotent subgroup. We prove that if $ν(G)>1/12,$ then $G$ is solvable.
Source: arXiv (Cornell University)
Author: Lucchini, Andrea
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7151344656
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