On semi-Hamilton groups and minimal non-semi-Hamilton groups
Parole chiave:
finite groups, semi-Hamilton groups, minimal non-semi-Hamilton groups, power automorphismsAbstract
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.
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Pubblicato
2025-05-19
Come citare
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. Recuperato da https://journals.uniurb.it/index.php/ijpam/article/view/5745
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Sezione
Articoli - Forum Editrice
Licenza
Copyright (c) 2025 Zhangjia Han, Dongyang He, Huaguo Shi
TQuesto lavoro è fornito con la licenza Creative Commons Attribuzione 4.0 Internazionale.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
