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.
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页数：22
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