Twisted conjugacy in dihedral Artin groups II: Baumslag Solitar groups BS(n,n)

In this second paper, we solve the twisted conjugacy problem for even dihedral Artin groups, that is, groups with presentation [Formula: see text], where [Formula: see text] is even, and [Formula: see text] is the word [Formula: see text] of length m. We then prove orbit decidability for the full automorphism group [Formula: see text], which then implies that the conjugacy problem is solvable in certain extensions of even dihedral Artin groups.

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Publication Details

Journal
International Journal of Algebra and Computation
Published
2025-10-10
DOI
https://doi.org/10.1142/s0218196725500420
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
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article

Twisted conjugacy in dihedral Artin groups II: Baumslag Solitar groups BS(n,n)

Gemma Crowe
International Journal of Algebra and Computation
Geometric and Algebraic Topology
article

Twisted conjugacy in dihedral Artin groups II: Baumslag Solitar groups BS(n,n)

Gemma Crowe
article en

Abstract

In this second paper, we solve the twisted conjugacy problem for even dihedral Artin groups, that is, groups with presentation [Formula: see text], where [Formula: see text] is even, and [Formula: see text] is the word [Formula: see text] of length m. We then prove orbit decidability for the full automorphism group [Formula: see text], which then implies that the conjugacy problem is solvable in certain extensions of even dihedral Artin groups.

International Journal of Algebra and ComputationVol. 36(01)
University of Manchester (GB), Heilbronn Institute for Mathematical Research (GB)
Openalex Percentile: Top 66%
Geometric and Algebraic Topology
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