Commutator length of powers in free products of groups

DOI10.1017/S0013091521000808zbMath1497.20032arXiv2008.02861MaRDI QIDQ5065436

Anton A. Klyachko, V. Yu. Bereznyuk

Publication date: 21 March 2022

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.02861

zbMATH Keywords

commutatorcommutator lengthfree product of groups

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Commutator calculus (20F12)

Related Items (1)

Powers with minimal commutator length in free products of groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relator.
• Diagrams and the second homotopy group
• How to generalize known results on equations over groups.
• scl.
• Using surfaces to solve equations in free groups
• The surjectivity problem for one-generator, one-relator extensions of torsion-free groups
• Klyachko's methods and the solution of equations over torsion-free groups
• The genus problem for one-relator products of locally indicable groups
• The structure of one-relator relative presentations and their centres
• The relative hyperbolicity of one-relator relative presentations
• The Kervaire-Laudenbach Conjecture and Presentations of Simple Groups
• The Quotient of a Free Product of Groups by a Single High-Powered Relator. II. Fourth Powers
• Free subgroups of one-relator relative presentations
• The solution of length three equations over groups
• Commutators as Powers in Free Products of Groups
• Asphericity Tests
• NON-AMENABLE TYPE K EQUATIONS OVER GROUPS
• Solving equations of length at most six over torsion-free groups
• Quasiperiodic and mixed commutator factorizations in free products of groups
• Spectral gap of scl in free products
• Tesselations ofS²and equations over torsion-free groups
• A funny property of sphere and equations over groups
• The adjunction problem over torsion-free groups
• Powers as products of commutators
• The group \(\langle G,t\mid e\rangle\) when \(G\) is torsion free

This page was built for publication: Commutator length of powers in free products of groups