The number of conjugacy classes of non-normal subgroups in nilpotent groups

DOI10.1080/00927879608825745zbMath0885.20009OpenAlexW2013620180MaRDI QIDQ4338195

Akbar Hussein Rhemtulla, John C. Poland

Publication date: 2 November 1997

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

Full work available at URL: https://doi.org/10.1080/00927879608825745

zbMATH Keywords

nilpotent groupsgeneralized quaternion groupsconjugacy classes of non-normal subgroupsHamiltonian groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) General structure theorems for groups (20E34) Finite nilpotent groups, (p)-groups (20D15)

Related Items (13)

On the conjugacy classes of cyclic non-normal subgroups ⋮ The number of conjugacy classes of nonnormal subgroups of finite \(p\)-groups ⋮ \(p\)-groups with few conjugacy classes of normalizers. ⋮ Nonnormal and minimal nonabelian subgroups of a finite group. ⋮ A bound on the number of conjugacy classes of non-normal cyclic subgroups of a finite \(p\)-group ⋮ Conjugacy classes of non-normal subgroups in finite nilpotent groups ⋮ Some explicit bounds in groups with a finite number of non-normal subgroups ⋮ The number of conjugacy classes of nonnormal subgroups of finite p-groups (II) ⋮ On the number of conjugacy classes of normalisers in a finite p-group ⋮ Groups with a bounded number of conjugacy classes of non-normal subgroups ⋮ 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) ⋮ Finite Nilpotent Groups Having Exactly Four Conjugacy Classes of Non-normal Subgroups

Cites Work

• Unnamed Item
• Finite groups in which the non-normal subgroups have nontrivial intersection
• Groups with few non-normal subgroups
• Two problems on finite groups with k conjugate classes

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