On Commutator Length and Square Length of the Wreath Product of a Group by a Finitely Generated Abelian Group

DOI10.1142/S100538671000074XzbMath1203.20034MaRDI QIDQ3057652

Mehri Akhavan-Malayeri

Publication date: 16 November 2010

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

Full work available at URL: http://www.worldscinet.com/ac/17/17spec01/S100538671000074X.html

zbMATH Keywords

wreath productsproducts of commutatorscommutator subgroupcommutator lengthscommutators in groupsproducts of squaressquares in groups

Mathematics Subject Classification ID

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

Related Items (3)

Palindromic widths of nilpotent and wreath products ⋮ Palindromic width of wreath products ⋮ On solvable groups of arbitrary derived length and small commutator length.

Cites Work

• Pseudocharacters and the problem of expressibility for some groups
• A problem of expressibility in some amalgamated products of groups

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