论文标题

关于nilpotent Schur组

On nilpotent Schur groups

论文作者

Ryabov, Grigory

论文摘要

有限的$ g $如果$ g $超过$ g $的每个$ s $ ring是Schurian,即以自然方式与$ \ sym(g)$相关联,则称为Schur组。我们证明,每个非亚伯nilpotent Schur群体都属于明确给定的团体家庭之一。

A finite group $G$ is called a Schur group if every $S$-ring over $G$ is schurian, i.e. associated in a natural way with a subgroup of $\sym(G)$ that contains all right translations. We prove that every nonabelian nilpotent Schur group belongs to one of the explicitly given families of groups.

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