The \(R_\infty\) property for pure Artin braid groups

DOI10.1007/s00605-020-01484-7OpenAlexW3130682728MaRDI QIDQ2664014

Oscar Ocampo, Karel Dekimpe, Daciberg Lima Gonçalves

Publication date: 20 April 2021

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.08286

zbMATH Keywords

nilpotent groupsrepresentation theorybraid grouppure braid group\(R_\infty\) property

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Representations of finite symmetric groups (20C30) Braid groups; Artin groups (20F36) Automorphisms of infinite groups (20E36)

Related Items (5)

The Reidemeister spectrum of 2-step nilpotent groups determined by graphs ⋮ Structure and automorphisms of pure virtual twin groups ⋮ Twisted conjugacy in big mapping class groups ⋮ The \(R_{\infty}\) property for nilpotent quotients of generalized solvable Baumslag-Solitar groups ⋮ Property \(R_\infty\) for some spherical and affine Artin-Tits groups

Uses Software

• GAP

Cites Work

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• Most automorphisms of a hyperbolic group have very simple dynamics
• TWISTED CONJUGACY CLASSES IN WREATH PRODUCTS
• Reidemeister classes in lamplighter-type groups
• Twisted conjugacy and quasi-isometry invariance for generalized solvable Baumslag-Solitar groups
• The R _∞ property for free groups, free nilpotent groups and free solvable groups

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