Finite groups in which some maximal subgroups are MNP-groups

• Pengfei Guo ^[1] ; Huaguo Shi ^[2]
  1. [1] Hainan Normal University

     Hainan Normal University

     China

     
  2. [2] Department of Teacher Education, Sichuan Vocational and Technical College, China
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 68, Nº. 2, 2025, págs. 423-435
• Idioma: inglés
• DOI: 10.33044/revuma.4266
• Enlaces
  • Texto completo
• Resumen

  • A finite group G is called an MNP-group if all maximal subgroups of the Sylow subgroups of G are normal in G. The aim of this paper is to give a necessary and sufficient condition for a group to be an MNP-group, characterize the structure of finite groups whose maximal subgroups (respectively, maximal subgroups of even order) are all MNP-groups, and determine finite non-abelian simple groups whose second maximal subgroups (respectively, maximal subgroups of even order) are all MNP-groups.

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