Soluble products of nilpotent groups

zbMath0441.20026MaRDI QIDQ5904458

Derek J. S. Robinson, John C. Lennox

Publication date: 1980

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1980__62__261_0

zbMATH Keywords

embedding theorempolycyclic groupsHirsch lengthsupersoluble groupsproduct of permutable nilpotent subgroupssoluble groups of finite total rank

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Nilpotent groups (20F18) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (8)

On inert subgroups of a group. ⋮ Groups with a nilpotent-by-finite triple factorization ⋮ Derivations and the permutability of subgroups in polycyclic-by-finite groups ⋮ Groups with finiteness conditions on the lower central series of non-normal subgroups ⋮ Solvable groups of finite metabelian rank ⋮ A note on products of Abelian groups ⋮ Torsion cohomology for solvable groups of finite rank. ⋮ The cohomology of virtually torsion-free solvable groups of finite rank

Cites Work

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• The vanishing of certain homology and cohomology groups
• Factorizations of infinite soluble groups
• Soluble products of polycyclic groups
• Splitting over nilpotent and hypercentral residuals

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