Generalized Schur Groups

被引：0
作者：
G. K. Ryabov
机构：
[1] Sobolev Institute of Mathematics,
[2] Novosibirsk State Technical University,undefined
来源：
Algebra and Logic | 2023年 / 62卷
关键词：
Schur rings; Schur groups; p-groups; Camina groups; dihedral groups;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
An S-ring (Schur ring) is said to be central if it is contained in the center of a group ring. We introduce the notion of a generalized Schur group, i.e., a finite group such that all central S-rings over this group are Schurian. It generalizes the notion of a Schur group in a natural way, and for Abelian groups, the two notions are equivalent. We prove basic properties and present infinite families of non-Abelian generalized Schur groups.
引用
收藏
页码：166 / 178
页数：12
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