A real chain condition for groups

DOI10.1016/j.jalgebra.2023.12.019arXiv2307.07639MaRDI QIDQ6140054

Ulderico Dardano, Fausto De Mari

Publication date: 19 January 2024

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

Full work available at URL: https://arxiv.org/abs/2307.07639

zbMATH Keywords

subnormal subgroupminimax groupdeviation of a posetpermutable subgroupalmost normal subgroupnearly normal subgroup

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) FC-groups and their generalizations (20F24)

Cites Work

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• Groups with finite conjugacy classes of subnormal subgroups
• Baer groups satisfying weak chain conditions.
• Groups with small deviation for non-subnormal subgroups.
• Gruppi in cui la relazione di Dedekind e transitiva
• Groups with the weak maximal condition for non-subnormal subgroups
• On deviation in groups
• Groups with weak minimality and maximality conditions for subgroups which are not normal
• Groups with the weak minimal condition for non-subnormal subgroups
• Subgroup lattices of groups
• Groups with pronormal deviation
• The weak minimal condition on subgroups which fail to be close to normal subgroups
• Groups with the weak minimal condition on non-normal non-abelian subgroups
• Theory of minimax groups
• Groups satisfying weak chain conditions on non-modular subgroups
• Abelian Groups

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