On primordial groups for the Green ring

Alberto G. Raggi-Cardenas and Nadia Romero

Abstract
 
   Consider the Mackey functor assigning to each finite group G the
Green ring of finitely generated kG-modules, where k is a field of char-
acteristic p>0. Thevenaz foresaw in 1988 that the class of primordial
groups for this functor is the family of k-Dress groups. In this paper
we prove that this is true for the subfunctor defined by the Green ring
of finitely generated kG-modules of trivial source.

Keywords: Green ring, primordial group, trivial source module.