The Cartan ring of a finite group |
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Affiliation: | 1. Department of Mathematics, University of California, Santa Cruz, CA 95064, USA;2. Mathematisches Institut, Universität Jena, 07740 Jena, Germany |
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Abstract: | We determine the structure of the Cartan ring of a finite group G, defined as the Grothendieck ring of G modulo its ideal generated by projective modules, and we identify the ideal of the Cartan ring arising from all relatively Q-projective modules for a p-subgroup Q of G. |
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