Disjoint hypercyclic weighted translations on groups (Q2011943)

\textit{L. Bernal-González} [Stud. Math. 182, No. 2, 113--131 (2007; Zbl 1134.47006)] and \textit{J. Bès} and \textit{A. Peris} [J. Math. Anal. Appl. 336, No. 1, 297--315 (2007; Zbl 1129.47007)] introduced and studied independently the concepts of disjoint hypercyclic and supercyclic operators. Inspired by their work, the author of the present paper continues his recent research on weighted translation operators on function spaces on locally compact groups \(G\) and presents sufficient and necessary conditions for such operators on the Lebesgue space \(L_p(G)\), \(1 \leq p < \infty\), to be disjoint hypercyclic and disjoint supercyclic.