Nilpotent subgroups of class $2$ in finite groups
Group Theory
2022-01-12 v2
Abstract
We show that every finite group of size at least has a nilpotent subgroup of class at most and size at least . This answers a question of Pyber, and is essentially best possible.
Cite
@article{arxiv.2107.13506,
title = {Nilpotent subgroups of class $2$ in finite groups},
author = {Luca Sabatini},
journal= {arXiv preprint arXiv:2107.13506},
year = {2022}
}
Comments
3 pages