Conjugacy classes of non-normal subgroups of finite \(p\)-groups.

DOI10.1007/s11856-012-0156-3zbMath1283.20012OpenAlexW1979351863MaRDI QIDQ375864

Rolf Brandl

Publication date: 1 November 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-012-0156-3

zbMATH Keywords

numbers of conjugacy classesfinite \(p\)-groupsconjugacy classes of nonnormal 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 (8)

On the conjugacy classes of cyclic non-normal subgroups ⋮ 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 ⋮ A bound on the number of conjugacy classes of non-normal cyclic subgroups of a finite \(p\)-group ⋮ Finite \(p\)-groups whose nonnormal subgroups are metacyclic ⋮ Finite non-nilpotent groups with few non-normal non-cyclic subgroups ⋮ On non-normal cyclic subgroups of prime order or order 4 of finite groups ⋮ Finite \(p\)-groups whose length of chain of nonnormal subgroups is at most 2

Cites Work

• Unnamed Item
• The finite \(p\)-groups with \(p\) conjugacy classes of non-normal subgroups.
• Groups with a bounded number of conjugacy classes of non-normal subgroups
• Finite groups in which the non-normal subgroups have nontrivial intersection
• Groups with few non-normal subgroups

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