The number of conjugacy classes of nonnormal subgroups of finite \(p\)-groups

DOI10.1016/j.jalgebra.2016.06.027zbMath1360.20014OpenAlexW2486042411MaRDI QIDQ308098

Li-Li Li, Hai Peng Qu

Publication date: 5 September 2016

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.06.027

zbMATH Keywords

conjugacy classesfinite \(p\)-groupsnon-normal subgroupsminimal non-abelian \(p\)-groupsnonnormal subgroups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items (9)

On the conjugacy classes of cyclic non-normal subgroups ⋮ Finite 2-groups whose length of chain of nonnormal subgroups is at most 2 ⋮ Finite \(p\)-groups whose nonnormal subgroups are metacyclic ⋮ A note on an “Anzahl” theorem of P. Hall ⋮ Finite 2-groups whose number of subgroups of each order are at most \(2^4\) ⋮ On non-normal cyclic subgroups of prime order or order 4 of finite groups ⋮ The number of conjugacy classes of nonnormal subgroups of finite p-groups (II) ⋮ Finite \(p\)-groups whose length of chain of nonnormal subgroups is at most 2 ⋮ The number of conjugacy classes of nonnormal subgroups of finite p-groups (III)

Cites Work

• Unnamed Item
• Conjugacy classes of non-normal subgroups of finite \(p\)-groups.
• The finite \(p\)-groups with \(p\) conjugacy classes of non-normal subgroups.
• Finite 2-groups whose nonnormal subgroups have orders at most \(2^3\).
• Finite \(p\)-groups all of whose non-Abelian proper subgroups are generated by two elements.
• Groups of prime power order. Vol. 1.
• Groups with a bounded number of conjugacy classes of non-normal subgroups
• Finite \(p\)-groups with a minimal non-abelian subgroup of index \(p\). II.
• Finite \(p\)-groups whose nonnormal subgroups have orders at most \(p^3\).
• 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
• Finite groups in which the normal closures of non-normal subgroups have the same order
• Conjugacy classes of non-normal subgroups in finite nilpotent groups
• FINITE GROUPS WHICH HAVE MANY NORMAL SUBGROUPS
• The number of conjugacy classes of non-normal subgroups in nilpotent groups
• Groups with few non-normal subgroups

This page was built for publication: The number of conjugacy classes of nonnormal subgroups of finite \(p\)-groups