Finite 2-groups whose nonnormal subgroups have orders at most \(2^3\).

DOI10.1007/S11464-012-0216-3zbMath1266.20028OpenAlexW2125529751MaRDI QIDQ692657

Meijuan Su, Qinhai Zhang

Publication date: 6 December 2012

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-012-0216-3

zbMATH Keywords

central extensionsfinite 2-groupsnonnormal subgroupsminimal non-Abelian \(p\)-groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (8)

Finite 2-groups whose length of chain of nonnormal subgroups is at most 2 ⋮ The number of conjugacy classes of nonnormal subgroups of finite \(p\)-groups ⋮ Finite \(p\)-groups whose nonnormal subgroups are metacyclic ⋮ Finite \(p\)-groups whose nonnormal subgroups have orders at most \(p^3\). ⋮ Unnamed Item ⋮ Finite \(p\)-groups whose non-normal subgroups have few orders ⋮ A classification of finite metahamiltonian \(p\)-groups ⋮ Finite \(p\)-groups whose length of chain of nonnormal subgroups is at most 2

Cites Work

• Groups of prime power order. Vol. 1.
• Groups of prime power order. Vol. 2.
• Finite \(p\)-groups whose nonnormal subgroups have orders at most \(p^3\).
• Groups of prime power order. Vol. 3.
• Nonnormal subgroups of \(p\)-groups.
• Finite p-Groups All of Whose Subgroups of Index p² Are Abelian
• FINITE GROUPS WHICH HAVE MANY NORMAL SUBGROUPS
• Endliche Gruppen I

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