Groups in which every infinite subnormal subgroup is normal

DOI10.1016/0021-8693(85)90027-4zbMath0572.20016OpenAlexW2011667562MaRDI QIDQ1062138

Silvana Franciosi, Francesco de Giovanni

Publication date: 1985

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90027-4

zbMATH Keywords

transitive normalityderived lengthsubnormal subgroupT-groupssoluble IT-groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (13)

Groups with finitely many normalizers of subnormal subgroups. ⋮ New characterizations of locally nilpotent \(\overline{IH}\)-groups ⋮ Groups with restrictions on infinite subnormal subgroups ⋮ Groups in which every finite subnormal subgroup is normal. ⋮ Unnamed Item ⋮ Groups with restriction on their infinite subnormal subgroups ⋮ Nonperiodic locally solvable \(T(\overline A)\)-groups ⋮ Structure of separative Dedekind groups ⋮ Unnamed Item ⋮ GROUPS OF INFINITE RANK IN WHICH NORMALITY IS A TRANSITIVE RELATION ⋮ Groups with finite conjugacy classes of subnormal subgroups ⋮ Inertial properties in groups ⋮ Uncountable groups in which normality is a transitive relation

Cites Work

• Homology in group theory
• The vanishing of certain homology and cohomology groups
• Gruppen, in denen das Normalteilersein transitiv ist.
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