Groups with all subgroups either modular or soluble of finite rank

DOI10.1016/j.jalgebra.2020.12.005zbMath1462.20012OpenAlexW3112519357MaRDI QIDQ827042

Fausto De Mari

Publication date: 6 January 2021

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2020.12.005

zbMATH Keywords

minimaxfinite ranklocally graded groupmodular subgroup latticepolycyclicquasihamiltonian group

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (2)

ON GROUPS WHOSE SUBGROUPS ARE EITHER MODULAR OR CONTRANORMAL ⋮ Groups with many modular or self-normalizing subgroups

Cites Work

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• The weak minimal condition on subgroups which fail to be close to normal subgroups
• Groups with all subgroups permutable or soluble of finite rank
• Groups with the weak minimal condition on non-normal non-abelian subgroups
• Groups with many modular subgroups.
• Modular Subgroup Structure in Infinite Groups
• Groups with Polycyclic Non-Normal Subgroups
• Groups satisfying weak chain conditions on non-modular subgroups
• Polycyclic groups with modular finite homomorphic images

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