Groups with all subgroups either subnormal or self-normalizing.

DOI10.1016/j.jpaa.2004.08.005zbMath1078.20026OpenAlexW1968734218MaRDI QIDQ1770536

Leonid A. Kurdachenko, Howard Smith

Publication date: 7 April 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.08.005

zbMATH Keywords

subnormal subgroupslocally finite groupslocally graded groupsnilpotent subgroupsself-normalizing subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Nilpotent groups (20F18) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25)

Related Items

GROUPS WHOSE FINITELY GENERATED SUBGROUPS ARE EITHER PERMUTABLE OR PRONORMAL ⋮ On conormal subgroups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On some groups close to nilpotent groups. ⋮ Groups whose all subgroups are ascendant or self-normalizing. ⋮ On some groups with only two types of subgroups ⋮ Groups with many self-centralizing or self-normalizing subgroups ⋮ Minimal non-𝒬𝒮-groups ⋮ Finite groups with abnormal or formational subnormal primary subgroups ⋮ The influence of arrangement of subgroups on the group structure ⋮ Groups with small deviation for non-subnormal subgroups. ⋮ On the structure of groups whose non-normal subgroups are core-free

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