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math.GR2025
On Generalized Characters Whose Values on Nonidentity Elements are Sums of at Most Two Roots of Unity
Christopher Herbig
A character of a finite group having degree takes values which may be expressed as sums of or fewer roots of unity. In this note, we prove a result which describes the irre…
math.GR2025
A Block-theoretic Proof of Burnside's Normal -complement Theorem
Christopher Herbig
In [3, Theorem 6.7B], the authors use the Main Theorems of Brauer to give a proof of Burnside's Normal -complement Theorem. Unfortunately, the proof contains an error. We take t…