English

On two questions by Finch and Jones about perfect order subset groups

Group Theory 2016-05-20 v1

Abstract

A finite group G is said to be a POS-group if the number of elements of every order occurring in G divides |G|. We answer two questions by Finch and Jones by providing an infinite family of nonabelian POS-groups with orders not divisible by 3.

Keywords

Cite

@article{arxiv.1605.05994,
  title  = {On two questions by Finch and Jones about perfect order subset groups},
  author = {Bret J. Benesh},
  journal= {arXiv preprint arXiv:1605.05994},
  year   = {2016}
}

Comments

1 page