Groups whose proper quotients have finite derived subgroups

DOI10.1016/0021-8693(88)90026-9zbMath0658.20019OpenAlexW1996105048MaRDI QIDQ1111699

Derek J. S. Robinson, Zhirang Zhang

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90026-9

zbMATH Keywords

torsion-free nilpotent groupsFitting subgroupfaithful just-infinite modulejust-non-(finite-by-abelian) groupssoluble-by-finite JNFA-groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Nilpotent groups (20F18) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (7)

On solvable groups, all proper factor groups of which have finite ranks ⋮ On faithful irreducible representations of locally normal groups ⋮ Groups whose proper subgroups are finite-by-nilpotent ⋮ ON SOME INFINITE DIMENSIONAL LINEAR GROUPS ⋮ Groups whose proper quotients are finite-by-nilpotent ⋮ A NOTE ON GROUPS WITH FINITELY MANY MAXIMAL NORMALIZERS ⋮ Groups all proper quotient groups of which have Chernikov conjugacy classes

Cites Work

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• On the Finiteness of Certain Soluble Groups
• On a Class of Metabelian Groups
• On a Class of Nilpotent Groups
• A New Treatment of Soluble Groups with Finiteness conditions on their Abelian Subgroups
• Soluble Groups with Many Polycyclic Quotients
• Infinite groups whose proper quotient groups are finite, I
• Infinite groups whose proper quotient groups are finite, II

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