English

On finite groups with elements of prime power orders

Group Theory 2020-03-24 v1

Abstract

In this paper we study the finite groups in which every element has prime power order, briefly them EPPO-groups. The classification of EPPO-groups is given including the cases of solvable, non-solvable and simple EPPO-groups. This paper is published in Journal of Yunnan Education College, no.1(1986), p.2-10 (in Chinese). Translate it to English is helpful for readers for citing some conclusions of this paper. For example, the result of solvable EPPO-groups(see Theorem 2.4 in the text) is detailed more than G. Higman's conclusion (see reference 1 in this paper).

Keywords

Cite

@article{arxiv.2003.09445,
  title  = {On finite groups with elements of prime power orders},
  author = {Wujie Shi and Wenze Yang},
  journal= {arXiv preprint arXiv:2003.09445},
  year   = {2020}
}

Comments

11 pages

R2 v1 2026-06-23T14:21:54.162Z