An answer to Hirasaka and Muzychuk: Every p-Schur ring over Cp3 is Schurian |
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Authors: | Pablo Spiga Qiang Wang |
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Affiliation: | 1. Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, Alta., Canada T1K 3M4;2. School of Mathematics and Statistics, Carleton University, Ottawa, Ont., Canada K1S 5B6 |
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Abstract: | In Hirasaka and Muzychuk [An elementary abelian group of rank 4 is a CI-group, J. Combin. Theory Ser. A 94 (2) (2001) 339–362] the authors, in their analysis on Schur rings, pointed out that it is not known whether there exists a non-Schurian p-Schur ring over an elementary abelian p-group of rank 3. In this paper we prove that every p-Schur ring over an elementary abelian p-group of rank 3 is in fact Schurian. |
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