FINITE GROUPS ALL OF WHOSE SECOND MAXIMAL SUBGROUPS ARE ${\mathcal{H^*}}$-GROUPS

DOI10.1142/S0129167X13500274zbMath1280.20022OpenAlexW1905610672MaRDI QIDQ5300016

Xianggui Zhong

Publication date: 24 June 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x13500274

zbMATH Keywords

supersolvabilitysecond maximal subgroupsweakly normal subgroups\(\mathcal H^*\)-groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

• Weakly normal subgroups of finite groups.
• Notes on NE-subgroups of finite groups.
• On minimal non PN-groups
• On minimal non-PE-groups
• Finite groups with some \(c\)-normal minimal subgroups
• Erratum: ``Pure extensions of locally compact abelian groups [Rend. Semin. Mat. Univ. Padova 116 (2006), 31-40]
• On Supersolvable Groups and the Nilpotator
• On finiteJ-groups
• Finite Groups Whose Second Maximal Subgroups are ℋ-QC-Subgroups
• Endliche Gruppen I

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