On primordial groups for the Green ring
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.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2009
- DOI:
- 10.48550/arXiv.0902.3169
- arXiv:
- arXiv:0902.3169
- Bibcode:
- 2009arXiv0902.3169R
- Keywords:
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- Mathematics - Representation Theory;
- Mathematics - Group Theory
- E-Print:
- 13 pages, changed content