On semi-Hamilton groups and minimal non-semi-Hamilton groups

Zhangjia Han; Dongyang He; Huaguo Shi

On semi-Hamilton groups and minimal non-semi-Hamilton groups

Authors

Zhangjia Han Chengdu University - College of Applied Mathematics
Dongyang He Chengdu University - College of Applied Mathematics
Huaguo Shi Sichuan Vocational and Technical College - Education faculty

Keywords:

finite groups, semi-Hamilton groups, minimal non-semi-Hamilton groups, power automorphisms

Abstract

A subgroup H of a finite group G is said to be semipermutable in G if it is permutable with every subgroup K of G satisfying that (|K|, |H|) = 1. If every subgroup of G is semipermutable in G, then G is said to be a semi-Hamilton group. In this paper, the authors classify the non-semi-Hamilton groups whose proper subgroups are all semi-Hamilton groups.

Cover of n°53 Italian Journal of Pure and Applied Mathematics

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Published

2025-05-19

How to Cite

Han, Z., He, D., & Shi, H. (2025). On semi-Hamilton groups and minimal non-semi-Hamilton groups. Italian Journal of Pure and Applied Mathematics, 53, 61–72. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/5745