Finite groups whose all proper subgroups are $\mathcal{C}$-groups

DOI10.21136/CMJ.2017.0542-16zbMath1488.20053MaRDI QIDQ4568235

Pengfei Guo, Jian-Jun Liu

Publication date: 15 June 2018

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

normal subgroupabnormal subgroupminimal non-\(\mathcal{C}\)-group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Subgroup theorems; subgroup growth (20E07) Special subgroups (Frattini, Fitting, etc.) (20D25) General structure theorems for groups (20E34) Local properties of groups (20E25)

Cites Work

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• On minimal non-supersoluble groups.
• Finite soluble groups
• CLT-groups with normal or abnormal subgroups.
• Minimal nicht überauflösbare, endliche Gruppen
• On finite minimal non-nilpotent groups

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