Torsion-free groups with all subgroups subnormal

DOI10.1007/S000130050533zbMath0982.20018OpenAlexW2058031226MaRDI QIDQ5929485

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Publication date: 9 January 2002

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050533

zbMATH Keywords

subnormal subgroupstorsion-free groups

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (14)

On Groups in Which Every Subgroup of Infinite Rank Is Subnormal of Bounded Defect ⋮ GROUPS THAT INVOLVE FINITELY MANY PRIMES AND HAVE ALL SUBGROUPS SUBNORMAL II ⋮ On the structure of groups with all subgroups subnormal ⋮ Some trends in the theory of groups with finitely many normalizers ⋮ Groups that involve finitely many primes and have all subgroups subnormal. ⋮ Locally graded groups with all non-nilpotent subgroups permutable ⋮ On some groups close to nilpotent groups. ⋮ ON GROUPS WITH ALL SUBGROUPS SUBNORMAL OR SOLUBLE OF BOUNDED DERIVED LENGTH ⋮ Groups with Finitely Many Normalizers of Non-polycyclic Subgroups ⋮ Torsion-Free Groups with All Subgroups 4-Subnormal ⋮ Groups whose all subgroups are ascendant or self-normalizing. ⋮ On groups with all subgroups almost subnormal ⋮ Groups with all subgroups either subnormal or self-normalizing. ⋮ Groups with small deviation for non-subnormal subgroups.

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