On the influence of transitively normal subgroups on the structure of some infinite groups.

DOI10.5565/PUBLMAT_57113_03zbMath1293.20028MaRDI QIDQ2636751

Leonid A. Kurdachenko

Publication date: 31 January 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pm/1355854299

zbMATH Keywords

subnormal subgroupslocally finite groupstransitive normalitynormal seriesT-groupstransitively normal subgroupsgeneralized radical groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14)

Related Items (4)

Unnamed Item ⋮ Unnamed Item ⋮ The influence of arrangement of subgroups on the group structure ⋮ Groups whose subgroups satisfy the weak subnormalizer condition

Cites Work

• Infinite groups with many permutable subgroups.
• On minimal non-PE-groups
• Subgroup lattices of groups
• Groups with subnormality for all subgroups that are not finitely generated
• Schwachnormale Untergruppen: eine gemeinsame Verallgemeinerung der normalen und normalisatorgleichen Untergruppen
• On Supersolvable Groups and the Nilpotator
• Some Sylow subgroups
• On minimal subgroups of finite groups
• On finiteJ-groups
• On finite solvable groups in which normality is a transitive relation
• Radical groups
• Finite groups with NE-subgroups
• Finite Groups with Pro-Normal Subgroups
• Endliche Gruppen I
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