Groups with almost modular subgroup lattice

DOI10.1006/jabr.2001.8886zbMath0995.20011OpenAlexW2082594022MaRDI QIDQ5949405

Francesco de Giovanni, Carmela Musella, Yaroslav P. Sysak

Publication date: 21 October 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8886

zbMATH Keywords

subgroups of finite indexperiodic groupslattices of subgroupsAbelian-by-finite groupsalmost modular subgroup latticesfinite normal subgroupsmodular elements

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (9)

Groups in Which Every Subgroup Is Permutable-by-Finite ⋮ On finite 2-equilibrated \(p\)-groups ⋮ Groups in which every subgroup is modular-by-finite ⋮ Groups satisfying weak chain conditions on non-modular subgroups ⋮ Groups in which every subgroup of infinite rank is almost permutable ⋮ Groups whose cyclic subgroups have bounded permutability properties. ⋮ Groups with permutability conditions for subgroups of infinite rank ⋮ A note on groups of infinite rank with modular subgroup lattice. ⋮ The structure of groups whose subgroups are permutable-by-finite

Cites Work

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• Groups with many polycyclic-by-nilpotent subgroups
• Groups with modular lattice of subgroups
• Subgroup lattices of groups
• Power automorphisms of a group
• Permutable subgroups of infinite groups
• Groups with finite classes of conjugate subgroups
• Modular Subgroup Structure in Infinite Groups
• Power automorphisms of finitep-groups

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