FINITE p-GROUPS ALL OF WHOSE NON-NORMAL ABELIAN SUBGROUPS ARE CYCLIC

DOI10.1142/S0219498813500527zbMath1280.20019OpenAlexW1972525338MaRDI QIDQ2847699

Junqiang Zhang, Li-Hua Zhang

Publication date: 11 September 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498813500527

zbMATH Keywords

finite \(p\)-groupscyclic subgroupsminimal non-Abelian subgroupsnon-normal Abelian subgroups

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15)

Related Items (5)

Finite 2-groups whose length of chain of nonnormal subgroups is at most 2 ⋮ On finite \textit{NDC}-groups ⋮ Unnamed Item ⋮ The structure of finite groups with trait of non-normal subgroups ⋮ Finite \(p\)-groups whose length of chain of nonnormal subgroups is at most 2

Uses Software

• Unnamed Item

Cites Work

• Groups of prime power order. Vol. 1.
• Groups of prime power order. Vol. 3.
• Nonnormal subgroups of \(p\)-groups.
• Das ``schiefe Produkt in der Gruppentheorie mit Anwendung auf die endlichen nichtkommutativen Gruppen mit lauter kommutativen echten Untergruppen und die Ordnungszahlen, zu denen nur kommutative Gruppen gehören
• Generalizations of Certain Elementary Theorems on p -Groups

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