Groups whose proper Schur rings are commutative

被引：0

作者：

Cho, Eun-Kyung ^{[1
]}

机构：

[1] Pusan Natl Univ, Coll Sci, Dept Math, 2,Busandaehak Ro 63beon Gil, Busan 46241, South Korea

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2018年 / 17卷 / 11期

关键词：

Dedekind groups; group rings; Schur rings;

D O I：

10.1142/S0219498818502067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Schur ring A is called Dedekind if the formal sum of every A-subgroup is in the center of A. In this paper, we find all finite groups G such that every proper Schur ring over G is Dedekind. As a corollary of our main theorem, we find all finite groups G such that every proper Schur ring over G is commutative.

引用

页数：22

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