The $$R_\infty $$ property for pure Artin braid groups
The $$R_\infty $$ property for pure Artin braid groups
In this paper we prove that all pure Artin braid groups $$P_n$$ ( $$n\ge 3$$ ) have the $$R_\infty $$ property. In order to obtain this result, we analyse the naturally induced morphism $${\text {Aut}}\left( {P_n}\right) \longrightarrow {\text {Aut}}\left( {\Gamma _2 (P_n)/\Gamma _3(P_n)}\right) $$ which turns out to factor through …