On solvable groups of arbitrary derived length and small commutator length.

DOI10.1155/2011/245324zbMath1234.20045OpenAlexW1989450673WikidataQ58687694 ScholiaQ58687694MaRDI QIDQ642234

Mehri Akhavan-Malayeri

Publication date: 26 October 2011

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/245324

zbMATH Keywords

wreath productsnilpotent groupssolvable groupscommutatorsderived lengthsproducts of commutatorscommutator lengths

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Commutator calculus (20F12)

Related Items (1)

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Cites Work

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• Commutators in metabelian groups
• Closed Subgroups of Profinite Groups
• On Commutator Length and Square Length of the Wreath Product of a Group by a Finitely Generated Abelian Group
• COMMUTATOR LENGTH OF SOLVABLE GROUPS SATISFYING MAX-N
• Generators and relations for wreath products
• Commutator length of abelian-by-nilpotent groups
• ON COMMUTATOR LENGTH OF CERTAIN CLASSES OF SOLVABLE GROUPS
• Commutators of Certain Finitely Generated Soluble Groups
• Subgroups of finite index in profinite groups

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