On primordial groups for the Green ring

Details On primordial groups for the Green ring On primordial groups for the Green ring

2009-02-18

arxiv.org/abs/0902.3169v6

Mathematics

Representation Theory

13 pages, changed content

Scientific paper

Consider the Mackey functor assigning to each finite group G the Green ring of finitely generated kG-modules, where k is a field of characteristic 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.

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