Word and conjugacy problems in groups \(G_{k+1}^{k}\)

DOI10.1134/S1995080220020067zbMath1486.20042arXiv1906.04916OpenAlexW3043351101MaRDI QIDQ2207018

D. A. Fedoseev, A. B. Karpov, Vassily O. Manturov

Publication date: 27 October 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.04916

zbMATH Keywords

manifolddynamical systemword probleminvariantgroupconjugacy problembraidsmall cancellation\(G_n^2\) groupHowie diagram

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Knot theory (57K10)

Cites Work

• Unnamed Item
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• THE CONJUGACY PROBLEM IS SOLVABLE IN FREE-BY-CYCLIC GROUPS
• On marked braid groups
• On braids and groups Gnk
• The solution of length three equations over groups
• Aspherical relative presentations
• Artin’s braids, braids for three space, and groups Γn4 and Gnk
• The groups Gnk and fundamental groups of configuration spaces
• The groups $ G_n^2$ and Coxeter groups

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