The quasitriangular structures for a class of group twisted product Hopf group coalgebras

Abstract

For a group π, we study the quasitriangular structures of π-twisted tensor biproduct Hopf π-coalgebra [Formula: see text] which is constructed by the first author and Tang. The necessary and sufficient conditions for such π-twisted tensor biproduct Hopf π-coalgebra to admit quasitriangular structures. As applications of our results, some corollaries are given as well.