Groups in which normality is a weakly transitive relation

DOI10.1142/S0219498815500073zbMath1315.20025OpenAlexW2107627702MaRDI QIDQ5498563

Giovanni Vincenzi, Emanuela Romano

Publication date: 9 February 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498815500073

zbMATH Keywords

subgroups of finite indexlocally graded groupspronormal subgroupsT-groupsgeneralized soluble groupsgeneralized FC-groupsweak normalitypronormalityweakly normal subgroupsweak normsubnormalizer conditionpronormalizing subgroupsweak pronormweakly normalizing elements

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25) FC-groups and their generalizations (20F24)

Related Items (4)

On the Wielandt subgroup of generalized FC-groups ⋮ Some characterisations of groups in which normality is a transitive relation by means of subgroup embedding properties ⋮ A characterization of soluble groups in which normality is a transitive relation ⋮ ON GENERALISED FC-GROUPS IN WHICH NORMALITY IS A TRANSITIVE RELATION

Cites Work

• Unnamed Item
• Groups with finitely many normalizers of subnormal subgroups.
• On the theory of generalized FC-groups.
• GROUPS WHOSE PROPER SUBGROUPS ARE GENERALIZED FC-GROUPS
• Some Sylow subgroups
• ON GROUPS WHICH CONTAIN NO HNN-EXTENSIONS
• On finiteJ-groups
• Groups Covered By Permutable Subsets

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