Products of Commutators in Free Products

DOI10.1142/S0218196797000216zbMath0885.20024OpenAlexW2024725093MaRDI QIDQ4354690

Alina Vdovina

Publication date: 20 April 1998

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196797000216

zbMATH Keywords

free productscubic graphscommutator subgroupsproducts of commutatorsorientable forms of genus \(n\)

Mathematics Subject Classification ID

Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Commutator calculus (20F12)

Related Items (5)

On asymptotic properties of verbal subsets in a group. ⋮ Conjugacy growth of commutators ⋮ On systems of equations over free partially commutative groups ⋮ Explicit solutions of certain orientable quadratic equations in free groups ⋮ Quadratic equations in hyperbolic groups are NP-complete

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