TY - JOUR

T1 - CI-Property for decomposable schur rings over an abelian group

AU - Kovács, István

AU - Ryabov, Grigory

N1 - Publisher Copyright: © 2019 Academy of Mathematics and Systems Science, Chinese Academy of Sciences.

PY - 2019/3/1

Y1 - 2019/3/1

N2 - A Schur ring over a finite group is said to be decomposable if it is the generalized wreath product of Schur rings over smaller groups. In this paper we establish a sufficient condition for a decomposable Schur ring over the direct product of elementary abelian groups to be a CI-Schur ring. By using this condition we offer short proofs for some known results on the CI-property for decomposable Schur rings over an elementary abelian group of rank at most 5.

AB - A Schur ring over a finite group is said to be decomposable if it is the generalized wreath product of Schur rings over smaller groups. In this paper we establish a sufficient condition for a decomposable Schur ring over the direct product of elementary abelian groups to be a CI-Schur ring. By using this condition we offer short proofs for some known results on the CI-property for decomposable Schur rings over an elementary abelian group of rank at most 5.

KW - CI-group

KW - isomorphism

KW - Schur ring

UR - http://www.scopus.com/inward/record.url?scp=85062651751&partnerID=8YFLogxK

U2 - 10.1142/S1005386719000142

DO - 10.1142/S1005386719000142

M3 - Article

AN - SCOPUS:85062651751

VL - 26

SP - 147

EP - 160

JO - Algebra Colloquium

JF - Algebra Colloquium

SN - 1005-3867

IS - 1

ER -