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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Keywords Elementary abelian group, Planar function, Schurian Schur ring
Persistent URL dx.doi.org/10.1016/j.disc.2007.04.021
Journal Discrete Mathematics
Citation
Spiga, P. (Pablo), & Wang, Q. (2008). An answer to Hirasaka and Muzychuk: Every p-Schur ring over Cp 3 is Schurian. Discrete Mathematics, 308(9), 1760–1763. doi:10.1016/j.disc.2007.04.021