Powers as products of commutators

DOI10.1080/00927879108824163zbMath0721.20021OpenAlexW1992422102MaRDI QIDQ5752744

Jonell A. Comerford, Leo P. jun. Comerford, Charles C. Edmunds

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/00927879108824163

zbMATH Keywords

free groupproduct of commutators

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free nonabelian groups (20E05) Commutator calculus (20F12)

Related Items (6)

LINEAR ESTIMATES FOR SOLUTIONS OF QUADRATIC EQUATIONS IN FREE GROUPS ⋮ Commutator length of powers in free products of groups ⋮ Constructing of orientable wicks forms and estimation of their number ⋮ Powers with minimal commutator length in free products of groups ⋮ On the number of nonorientable Wicks forms in a free group ⋮ A cyclically pinched product of free groups which is not residually free

Cites Work

• The equation \(a_ M=b^ Nc^ P\) in a free group
• Using surfaces to solve equations in free groups
• Commutators in Free Products
• On the Endomorphism Problem for Free Groups II

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