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arXiv · 2002.05742

Finite groups with very few character values

Taro Sakurai
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Abstract

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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Taro Sakurai. 2020-02-13. Finite groups with very few character values. https://doi.org/10.1080/00927872.2020.1813747

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