论文标题
关于广义的Schur组
On generalized Schur groups
论文作者
论文摘要
如果包含在组环的中心中，则称其为中央（Schur Ring）。我们介绍了一个广义的Schur集团的概念，即这样的有限小组，即该组的所有中央$ s $ rings都是Schurian。它以自然的方式概括了Schur群体的概念，它们对亚伯群是等效的。我们建立基本特性，并提供非亚伯广义Schur组的无限家族
An $S$-ring (Schur ring) is called central if it is contained in the center of the group ring. We introduce the notion of a generalized Schur group, i.e. such finite group that all central $S$-rings over this group are schurian. It generalizes in a natural way the notion of a Schur group and they are equivalent for abelian groups. We establish basic properties and provide infinite families of nonabelian generalized Schur groups
