paper

Finite groups with very few character values

arXiv:2002.05742 · doi:10.1080/00927872.2020.1813747

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 -group. The proof involves the analysis of the centralizers of involutions.

v1: 5 pages. Comments are welcome. v2: Proofs are improved. v3: Proofs are slightly more simplified

Finite groups with very few character values · wovepaper