Torsion-free groups in which every subgroup is subnormal.

DOI10.1007/BF02844986zbMath1138.20306OpenAlexW2051745364MaRDI QIDQ2569601

Carlo Casolo

Publication date: 20 October 2005

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844986

zbMATH Keywords

nilpotent groupssubnormal subgroupstorsion-free groups

Mathematics Subject Classification ID

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

Related Items (11)

GROUPS THAT INVOLVE FINITELY MANY PRIMES AND HAVE ALL SUBGROUPS SUBNORMAL II ⋮ On the structure of groups with all subgroups subnormal ⋮ Groups with many subnormal subgroups ⋮ Groups that involve finitely many primes and have all subgroups subnormal. ⋮ Locally graded groups with all non-nilpotent subgroups permutable ⋮ Unnamed Item ⋮ 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 ⋮ Groups whose all subgroups are ascendant or self-normalizing. ⋮ On groups with all subgroups almost subnormal

Cites Work

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• Torsionsfreie Gruppen, deren Untergruppen alle subnormal sind. (Torsion free groups all of whose subgroups are subnormal)
• Auflösbarkeit von Gruppen, deren Untergruppen alle subnormal sind. (Solubility of groups all subgroups of which are subnormal)
• On groups in which every subgroup is subnormal

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