Commutator length of abelian-by-nilpotent groups

DOI10.1017/S0017089500032407zbMath0911.20028MaRDI QIDQ4212571

Mehri Akhavan-Malayeri, Akbar Hussein Rhemtulla

Publication date: 4 March 1999

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

commutator lengthproducts of commutatorsfree nilpotent groupsfree metabelian groupsderived subgroupsfree Abelian-by-nilpotent groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Extensions, wreath products, and other compositions of groups (20E22) Commutator calculus (20F12)

Related Items (11)

Palindromic Width of Finitely Generated Solvable Groups ⋮ The commutator width of some relatively free Lie algebras and nilpotent groups ⋮ On palindromic width of certain extensions and quotients of free nilpotent groups ⋮ The local structure of groups of triangular automorphisms of relatively free algebras. ⋮ On solvable groups of arbitrary derived length and small commutator length. ⋮ Theories of relatively free solvable groups with extra predicate ⋮ Palindromic width of free nilpotent groups. ⋮ Commutators and squares in free nilpotent groups. ⋮ ON COMMUTATOR LENGTH OF CERTAIN CLASSES OF SOLVABLE GROUPS ⋮ Orientable quadratic equations in free metabelian groups ⋮ The width of a power of a free nilpotent group of nilpotency class \(2\)

Cites Work

• Commutators in metabelian groups
• Subgroups of finite index in profinite groups

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