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Commutative $p$-Schur rings over non-abelian groups of order $p^3$
Bull. Korean Math. Soc. 2014 Vol. 51, No. 6, 1689-1696
https://doi.org/10.4134/BKMS.2014.51.6.1689
Printed November 30, 2014
Kijung Kim
Pusan National University
Abstract
: Recently, it was proved that every $p$-Schur ring over an abel\-ian group of order $p^3$ is Schurian. In this paper, we prove that every commutative $p$-Schur ring over a non-abelian group of order $p^3$ is Schurian.
Keywords
: $p$-Schur ring, Schurian, Cayley scheme
MSC numbers
: Primary 20B05, 20B25
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