Conjugacy classes of non-normal subgroups in finite nilpotent groups

DOI10.1515/JGT.2008.022zbMath1182.20019MaRDI QIDQ3519063

Leire Legarreta, Gustavo A. Fernández-Alcober

Publication date: 13 August 2008

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

numbers of conjugacy classesfinite \(p\)-groupsconjugacy classes of subgroupsnon-normal subgroupsHamiltonian groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items (6)

The number of conjugacy classes of nonnormal subgroups of finite \(p\)-groups ⋮ The finite \(p\)-groups with \(p\) conjugacy classes of non-normal subgroups. ⋮ A bound on the number of conjugacy classes of non-normal cyclic subgroups of a finite \(p\)-group ⋮ The number of conjugacy classes of nonnormal subgroups of finite p-groups (II) ⋮ Bounds for the Number of Conjugacy Classes of Non-Normal Subgroups in a Finitep-Group ⋮ The number of conjugacy classes of nonnormal subgroups of finite p-groups (III)

Uses Software

• GAP

Cites Work

• Groups with a bounded number of conjugacy classes of non-normal subgroups
• Finite groups in which the non-normal subgroups have nontrivial intersection
• Note on a paper of Berkovich
• A classification of finite 2-groups with exactly three involutions.
• Generalizations of Certain Elementary Theorems on p -Groups
• The number of conjugacy classes of non-normal subgroups in nilpotent groups
• A Contribution to the Theory of Groups of Prime-Power Order
• Groups with few non-normal subgroups

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