English

On primordial groups for the Green ring

Representation Theory 2013-02-11 v6 Group Theory

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 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.

Keywords

Cite

@article{arxiv.0902.3169,
  title  = {On primordial groups for the Green ring},
  author = {Alberto Raggi-Cardenas and Nadia Romero},
  journal= {arXiv preprint arXiv:0902.3169},
  year   = {2013}
}

Comments

13 pages, changed content

R2 v1 2026-06-21T12:13:00.843Z