On finite groups with few non-normal subgroups

DOI10.1080/00927879908826617zbMath0934.20018OpenAlexW2012784147MaRDI QIDQ4253119

Hamid Mousavi

Publication date: 12 April 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826617

zbMATH Keywords

numbers of conjugacy classesfinite groupsnon-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) General structure theorems for groups (20E34)

Related Items (13)

On the conjugacy classes of cyclic non-normal subgroups ⋮ On a Generalization of Hamiltonian Groups and a Dualization of PN-Groups ⋮ 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 ⋮ A new criterion for solvability of a finite group by the sum of orders of non-normal subgroups ⋮ Unnamed Item ⋮ 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 groups with few non-normal subgroups ⋮ On Solvability of Finite Groups with Few Non-Normal Subgroups ⋮ Finite Nilpotent Groups Having Exactly Four Conjugacy Classes of Non-normal Subgroups ⋮ Relative cyclic subgroup commutativity degrees of finite groups ⋮ On finite groups with non-subnormal subgroups

Cites Work

• Unnamed Item
• Finite groups in which the non-normal subgroups have nontrivial intersection
• Groups with few non-normal subgroups

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