Characterizing finite solvable groups through the nilpotency probability
| Title: | Characterizing finite solvable groups through the nilpotency probability |
|---|---|
| Authors: | Lucchini, Andrea |
| Publication Year: | 2026 |
| Subject Terms: | Group Theory |
| Description: | 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. |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/2604.04534 |
| Accession Number: | edsarx.2604.04534 |
| Database: | arXiv |