CI-Property for Decomposable Schur Rings over an Abelian Group

• 来源期刊: 代数集刊（英文版）
• 关键词: isomorphism CI-group Schur ring
• 年，卷（期）: 2019,（1）
• 页码范围: 147-160
• 页数: 14页
• 语种: 英文
• DOI: 10.1142/S1005386719000142

摘要

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.