论文标题

字符值很少的有限组

Finite groups with very few character values

论文作者

Sakurai, Taro

论文摘要

表征性格值很少的有限组。以下是本文的主要结果:当且仅当它是非平凡的基本Abelian $ 3 $ -Group的广义二面群时,有限的非亚洲群体具有四个字符值。证明涉及对互动中心化的分析。

Finite groups with very few character values are characterized. The following is the main result of this article: a finite non-abelian group has precisely four character values if and only if it is the generalized dihedral group of a non-trivial elementary abelian $3$-group. The proof involves the analysis of the centralizers of involutions.

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