Groups with finitely many normalizers of subnormal subgroups.

DOI10.1016/j.jalgebra.2005.10.006zbMath1116.20020OpenAlexW1980580787MaRDI QIDQ853929

Fausto De Mari, Francesco de Giovanni

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.10.006

zbMATH Keywords

subnormal subgroupstransitive normalityT-groupsWielandt subgroupnormalizer subgroupssoluble IT-groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items

Some trends in the theory of groups with finitely many normalizers ⋮ Unnamed Item ⋮ Groups with Finitely Many Normalizers of Non-polycyclic Subgroups ⋮ Finite unitary rings in which every subring is commutative, are commutative ⋮ An analogue of the Wielandt subgroup in infinite groups ⋮ Groups in which normality is a weakly transitive relation

Cites Work

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• Groups with finite conjugacy classes of subnormal subgroups
• Groups with finitely many normalizers of non-Abelian subgroups.
• Groups in which every infinite subnormal subgroup is normal
• Existentially closed locally finite p-groups
• Groups Whose Homomorphic Images Have a Transitive Normality Relation
• Gruppen, in denen das Normalteilersein transitiv ist.
• Groups with restriction on their infinite subnormal subgroups
• The Generalized Wielandt Subgroup of a Group
• Groups whose subnormal subgroups are normal by-finite
• Endliche Gruppen I
• Groups Covered By Permutable Subsets

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