CI-Property for Decomposable Schur Rings over an Abelian Group-Reference-Cited by-同舟云学术

CI-Property for Decomposable Schur Rings over an Abelian Group

Published:2019-03 Issue:01 Volume:26 Page:147-160
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Kovács István¹²,Ryabov Grigory³⁴

Affiliation:

1. UP IAM, University of Primorska, Muzejski trg 2, 6000 Koper, Slovenia

2. UP FAMNIT, University of Primorska, Glagoljaška 8, 6000 Koper, Slovenia

3. Sobolev Institute of Mathematics, Novosibirsk, Russia

4. Novosibirsk State University, Novosibirsk, Russia

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386719000142

Reference15 articles.

1. Elementary Proofs thatZp2andZp3are CI-groups

2. On Isomorphisms of Finite Cayley Graphs

3. Graphs with circulant adjacency matrices

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