Finite groups with few character values
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Date
Authors
Madanha, Sesuai Yasha
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor and Francis
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.
Description
Keywords
Almost simple groups, Character degrees, Character values
Sustainable Development Goals
Citation
Sesuai Y. Madanha (2022) Finite groups with few character values,
Communications in Algebra, 50:1, 308-312, DOI: 10.1080/00927872.2021.1957107.