Finite groups with many involutions
Group Theory
2009-11-09 v1
Abstract
It is shown that a finite group in which more than 3/4 of the elements are involutions must be an elementary abelian 2-group. A group in which exactly 3/4 of the elements are involutions is characterized as the direct product of the dihedral group of order 8 with an elementary abelian 2-group.
Cite
@article{arxiv.0911.1154,
title = {Finite groups with many involutions},
author = {Allan L. Edmonds and Zachary B. Norwood},
journal= {arXiv preprint arXiv:0911.1154},
year = {2009}
}