Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2014; 51(6): 1689-1696

Printed November 30, 2014

https://doi.org/10.4134/BKMS.2014.51.6.1689

Copyright © The Korean Mathematical Society.

Commutative $p$-Schur rings over non-abelian groups of order $p^3$

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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