A Classification of Minimal Non-MNP-Groups

DOI10.1080/00927872.2011.643518zbMath1277.20020OpenAlexW2063572167WikidataQ59255738 ScholiaQ59255738MaRDI QIDQ5326244

Changguo Shao, Renfu Ge, Pengfei Guo, Xiao Hong Zhang

Publication date: 5 August 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2011.643518

zbMATH Keywords

finite groupsSylow subgroupssupersolvable groupssecond maximal subgroupspower automorphismsMNP-groupsminimal non-MNP-groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Generators, relations, and presentations of groups (20F05)

Cites Work

• Unnamed Item
• On minimal non-MSN-groups.
• Zur Sylowstruktur auflösbarer Gruppen
• On minimal non-supersoluble groups.
• On minimal non PN-groups
• Two sufficient conditions for supersolvability of finite groups
• On minimal non-PE-groups
• Groups with maximal subgroups of Sylow subgroups normal
• Minimal nicht überauflösbare, endliche Gruppen
• Finite Groups with Self-Conjugate-Permutable Subgroups
• ON MINIMAL SUBGROUPS OF FINITE GROUPS
• On finite minimal non-nilpotent groups
• Finite Groups Whose Second Maximal Subgroups are ℋ-QC-Subgroups
• Nonsolvable finite groups all of whose local subgroups are solvable
• On Conjugate-Permutable Subgroups of a Finite Group

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