On supersolvable groups whose maximal subgroups of the Sylow subgroups are subnormal

• Autores: Pengfei Guo, Xingqiang Xiu, Guangjun Xu
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 60, Nº. 2, 2019, págs. 315-322
• Idioma: inglés
• DOI: 10.33044/revuma.v60n2a02
• Enlaces
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• Resumen

  • A finite group G is called an MSN∗-group if it is supersolvable, and all maximal subgroups of the Sylow subgroups of G are subnormal in G.

    A group G is called a minimal non-MSN∗-group if every proper subgroup of G is an MSN∗-group but G itself is not. In this paper, we obtain a complete classification of minimal non-MSN∗-groups.

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