The invention relates to a polyamide, a method for its manufacture and compounds containing it. It involves, specifically, a polyamide obtained through polymerization of an aminoacid or lactam such as caprolactam in the presence of a compound having at least three functions capable of generating an amide function by reacting either with an amine function or with an acid fonction. The polyamide obtained in this way has at least part of these molecular chains in a star formation, the other part being in linear form. This polymer is useful, inter alia, in the manufacture of compounds that are to be molded, since it has minimal viscosity in a melted medium while still retaining the mechanical properties of a linear polymer.