Groups in which all subgroups of infinite special rank have bounded near defect

DOI10.1080/00927872.2018.1468908zbMath1473.20034OpenAlexW2901958793MaRDI QIDQ4633984

Marco Trombetti, Martyn R. Dixon, Maria Ferrara

Publication date: 7 May 2019

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

Full work available at URL: https://doi.org/10.1080/00927872.2018.1468908

zbMATH Keywords

finite-by-nilpotent groupfinite special rank\( (nm) \)-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)

Related Items

Generalized nilpotency in uncountable groups, A local study of group classes, GROUPS IN WHICH ALL LARGE SUBGROUPS HAVE BOUNDED NEAR DEFECT, Unnamed Item, Groups with all subgroups permutable or soluble of finite rank, An analogue of the Wielandt subgroup in infinite groups, Paranilpotency in uncountable groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Groups with normality conditions for subgroups of infinite rank.
• Finite groups of automorphisms of locally soluble groups
• Locally (soluble-by-finite) groups with all proper non-nilpotent subgroups of finite rank
• Theorem on groups of finite special rank
• Locally (soluble-by-finite) groups of finite rank
• On groups in which every subgroup is subnormal
• A group with trivial centre satisfying the normalizer condition
• Radical groups of finite Abelian subgroup rank
• Groups in which every subgroup is f-subnormal
• On Groups in Which Every Subgroup of Infinite Rank Is Subnormal of Bounded Defect
• On Groups in which Every Subgroup is Almost Subnormal
• Joins of Almost Subnormal Subgroups
• On groups with all subgroups almost subnormal
• GROUPS IN WHICH ALL SUBGROUPS OF INFINITE RANK ARE SUBNORMAL