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  • The conjugacy problem and v...
    The conjugacy problem and virtually cyclic subgroups in the Artin braid group quotient Bn/[Pn,Pn]
    Ocampo, Oscar; Cerqueira dos Santos Júnior, Paulo Cesar

    Topology and its applications, 04/2021, Volume: 293
    Journal Article

    Let n≥3. In this paper we deal with the conjugacy problem in the Artin braid group quotient Bn/Pn,Pn. To solve it we use systems of equations over the integers arising from the action of Bn/Pn,Pn over the abelianization of the pure Artin braid group Pn/Pn,Pn. Using this technique we also realize explicitly infinite virtually cyclic subgroups in Bn/Pn,Pn.

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