On schur rings of group rings of finite groups |
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Authors: | C. Apostolopoulos M. Van den Bergh F. Van Oystaeyen |
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Affiliation: | University of Antwerp, U.I.A , Wilrijk, 2610, Belgium |
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Abstract: | Schur rings are rings associated to certain partitions of finite groups. They were introduced for applications in representation theory, cfr. [3][4]. The algebric structure of these rings has not been studied in depth. In this paper we determine explicit structure constants for Schur rings, we derive conditions for separability and we compute the centre. These results seem to be new even over fields. |
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Keywords: | Bertini chain Cohen-Macaulay ring descent invariant S ncondition |
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