GROUPS IN WHICH ALL LARGE SUBGROUPS HAVE BOUNDED NEAR DEFECT

DOI10.1017/S0004972722000971zbMath1526.20040OpenAlexW4296998149MaRDI QIDQ6135514

G. Sabatino

Publication date: 25 August 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972722000971

zbMATH Keywords

large subgroupfinite-by-nilpotent group\((m,k)\)-subnormal 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)

Cites Work

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• On the number of normal subgroups of an uncountable soluble group
• Permutability in uncountable groups
• On groups in which every subgroup is subnormal
• Groups in which every subgroup is f-subnormal
• On Groups in Which Every Subgroup of Infinite Rank Is Subnormal of Bounded Defect
• GROUPS WITH NORMALITY CONDITIONS FOR UNCOUNTABLE SUBGROUPS
• AN IMBEDDING THEOREM FOR GROUPS AND ITS COROLLARIES
• On Groups in which Every Subgroup is Almost Subnormal
• Joins of Almost Subnormal Subgroups
• Groups in which all subgroups of infinite special rank have bounded near defect
• Uncountable groups in which normality is a transitive relation
• Some Explicit Bounds in Groups with Finite Derived Groups
• Some generalizations of normal series in infinite groups

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