Auflösbarkeit von Gruppen, deren Untergruppen alle subnormal sind. (Solubility of groups all subgroups of which are subnormal)

DOI10.1007/BF01188516zbMath0663.20027OpenAlexW2023186803MaRDI QIDQ1114002

Walter Möhres

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01188516

zbMATH Keywords

torsion subgroupderived seriesFitting subgroupgroups with all subgroups subnormalsolubility of groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14)

Related Items (34)

On Groups in Which Every Subgroup of Infinite Rank Is Subnormal of Bounded Defect ⋮ Bounded Engel groups with all subgroups subnormal ⋮ Non-subnormal subgroups of groups. ⋮ On the structure of groups with all subgroups subnormal ⋮ Groups with subnormality for all subgroups that are not finitely generated ⋮ Groups in which every subgroup of infinite rank is almost permutable ⋮ Groups whose proper subgroups are finite-by-nilpotent ⋮ On the structure of groups whose non-abelian subgroups are subnormal. ⋮ Groups with iterated restrictions on conjugacy classes ⋮ Groups with finitely many isomorphic classes of relevant subgroups ⋮ Countable recognizability and nilpotency properties of groups ⋮ Groups that involve finitely many primes and have all subgroups subnormal. ⋮ Locally graded groups with all non-nilpotent subgroups permutable ⋮ Unnamed Item ⋮ Large characteristic subgroups and abstract group classes ⋮ Unnamed Item ⋮ Groups satisfying the double chain condition on non-subnormal subgroups ⋮ Groups with few non-nilpotent subgroups ⋮ On some groups close to nilpotent groups. ⋮ Large soluble groups and the control of embedding properties. ⋮ ON GROUPS WITH ALL SUBGROUPS SUBNORMAL OR SOLUBLE OF BOUNDED DERIVED LENGTH ⋮ Infinite groups with rank restrictions on subgroups. ⋮ LOCALLY FINITE GROUPS WHOSE SUBGROUPS HAVE FINITE NORMAL OSCILLATION ⋮ Groups whose all subgroups are ascendant or self-normalizing. ⋮ Groups with all subgroups either subnormal or self-normalizing. ⋮ Residually nilpotent groups with all subgroups subnormal ⋮ On a generalization of groups with all subgroups subnormal. ⋮ Groups with the weak minimal condition for non-subnormal subgroups ⋮ The influence of arrangement of subgroups on the group structure ⋮ Groups with small deviation for non-subnormal subgroups. ⋮ Groups with dense subnormal subgroups ⋮ Torsion-free groups in which every subgroup is subnormal. ⋮ Hypersolvable Groups ⋮ Groups with finitely many non-isomorphic factor-groups

Cites Work

• Unnamed Item
• Unnamed Item
• Auflösbare Gruppen mit endlichem Exponenten, deren Untergruppen alle subnormal sind. II. (Soluble groups of finite exponent all subgroups of which are subnormal. II)
• Torsionsfreie Gruppen, deren Untergruppen alle subnormal sind. (Torsion free groups all of whose subgroups are subnormal)
• On groups in which every subgroup is subnormal
• Groups with every Subgroup Subnormal

This page was built for publication: Auflösbarkeit von Gruppen, deren Untergruppen alle subnormal sind. (Solubility of groups all subgroups of which are subnormal)