FINITE GROUPS WHICH HAVE MANY NORMAL SUBGROUPS

DOI10.4134/JKMS.2009.46.6.1165zbMath1201.20014OpenAlexW3021416632MaRDI QIDQ3652880

Xiaoqiang Guo, Qinhai Zhang, Ming-Yao Xu, Hai Peng Qu

Publication date: 16 December 2009

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/jkms.2009.46.6.1165

zbMATH Keywords

finite \(p\)-groupscentral productsinner Abelian \(p\)-groupsDedekind groupscyclic nonnormal subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items (14)

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 ⋮ Generalised norms in finite soluble groups. ⋮ Finite 2-groups whose nonnormal subgroups have orders at most \(2^3\). ⋮ Finite \(p\)-groups whose nonnormal subgroups have orders at most \(p^3\). ⋮ Groups with Certain Normality Conditions ⋮ Unnamed Item ⋮ Finite \(p\)-groups whose non-normal subgroups have few orders ⋮ A classification of finite metahamiltonian \(p\)-groups ⋮ Finite groups in which the normal closures of non-normal subgroups have the same order ⋮ The number of conjugacy classes of nonnormal subgroups of finite p-groups (II) ⋮ On finite p-groups with few normal subgroups ⋮ Finite \(p\)-groups whose length of chain of nonnormal subgroups is at most 2

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