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On finite groups with elements of prime power orders

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arxiv 2003.09445 v1 pith:YKP7ABTG submitted 2020-03-20 math.GR

Wujie Shi , Wenze Yang This is my paper · ORCID
classification math.GR
keywords eppo-groupsfinitegroupspowerprimesolvablebrieflycases
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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).

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Forbidden Subgraphs of Prime Order Element Graph

    math.CO 2024-12 conditional novelty 6.0 of 10

    The paper characterizes when the prime-order element graph of a finite group is perfect, chordal, cograph, claw-free, or interval in terms of forbidden subgroups and element orders.

  2. Critical groups and partitions of finite groups

    math.GR 2024-12 conditional novelty 6.0 of 10

    Every nonidentity element of a finite group lies in a critical power-graph twin class exactly when the group is a Frobenius group C_{p^a} ⋊ C_{q^b} with a,b ≥ 2.

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