Finite groups with few character values
Group Theory
2021-06-30 v1
Abstract
A classical theorem on character degrees states that if a finite group has fewer than four character degrees, then the group is solvable. We prove a corresponding result on character values by showing that if a finite group has fewer than eight character values in its character table, then the group is solvable. This confirms a conjecture of T. Sakurai. We also classify non-solvable groups with exactly eight character values.
Cite
@article{arxiv.2106.15248,
title = {Finite groups with few character values},
author = {Sesuai Y. Madanha},
journal= {arXiv preprint arXiv:2106.15248},
year = {2021}
}
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5 pages