Groups with a bounded number of conjugacy classes of non-normal subgroups

DOI10.1006/jabr.1998.7690zbMath0921.20042OpenAlexW1989686075MaRDI QIDQ1283261

Roberta La Haye, Akbar Hussein Rhemtulla

Publication date: 4 August 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7690

zbMATH Keywords

conjugacy classesnon-normal subgroups

Mathematics Subject Classification ID

FC-groups and their generalizations (20F24)

Related Items

The number of conjugacy classes of nonnormal subgroups of finite \(p\)-groups ⋮ Conjugacy classes of non-normal subgroups of finite \(p\)-groups. ⋮ \(p\)-groups with few conjugacy classes of normalizers. ⋮ 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 ⋮ Conjugacy classes of non-normal subgroups in finite nilpotent groups ⋮ 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

Cites Work

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• Groups with a finite number of infinite classes of conjugate subgroups
• Groups with finitely many non-normal subgroups
• On some finiteness conditions in semigroup and group theory
• Finite groups in which the non-normal subgroups have nontrivial intersection
• Groups with finite classes of conjugate subgroups
• Groups with finitely many conjugacy classes of subgroups with large subnormal defect
• The number of conjugacy classes of non-normal subgroups in nilpotent groups
• Some explicit bounds in groups with a finite number of non-normal subgroups
• Groups with few non-normal subgroups