Soluble products of nilpotent groups

DOI10.1016/0021-8693(86)90021-9zbMath0578.20024OpenAlexW1987626579MaRDI QIDQ5902930

Derek J. S. Robinson

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90021-9

zbMATH Keywords

nilpotentfactorized groupsfinite abelian section rankfinite Prüfer rankhypercentralproduct of two subgroupsfinite torsionfree rankTriple Factorization Theorem

Mathematics Subject Classification ID

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

Related Items (9)

Products of groups with finite rank ⋮ Groups with a nilpotent-by-finite triple factorization ⋮ On products of locally polycyclic groups ⋮ Groups with a supersoluble triple factorization ⋮ Infinite factorized groups ⋮ Groups with a nilpotent triple factorisation ⋮ Groups with few non-nilpotent subgroups ⋮ On some ranks of infinite groups. ⋮ On groups of automorphisms of residually finite groups

Cites Work

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• Soluble groups which are products of nilpotent minimax groups
• On products of soluble groups of finite rank
• Products of Abelian groups
• Product of groups of finite rank
• The vanishing of certain homology and cohomology groups
• Factorizations of infinite soluble groups
• Artinian and Noetherian factorized groups
• Soluble products of polycyclic groups
• Locally graded groups, factorizable by subgroups of finite rank
• A property of the lower central series of a group
• On finite soluble groups
• Residual Properties of Some Classes of Infinite Soluble Groups

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