Finite Nilpotent Groups Having Exactly Four Conjugacy Classes of Non-normal Subgroups

DOI10.1142/S1005386713000552zbMath1293.20015OpenAlexW1997154443MaRDI QIDQ2862494

Lü Gong, Hongping Cao, Gui-Yun Chen

Publication date: 15 November 2013

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

Full work available at URL: https://doi.org/10.1142/s1005386713000552

zbMATH Keywords

classificationnumbers of conjugacy classesfinite nilpotent groupsconjugacy classes of non-normal subgroupsnumbers of non-normal subgroups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) General structure theorems for groups (20E34) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

Finite non-nilpotent groups with few non-normal non-cyclic subgroups ⋮ Relative cyclic subgroup commutativity degrees of finite groups

Cites Work

• Trivial intersection groups
• Finite groups in which the non-normal subgroups have nontrivial intersection
• On finite groups with few non-normal subgroups
• The number of conjugacy classes of non-normal subgroups in nilpotent groups
• Groups with few non-normal subgroups

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