Abstract
We define the total character $\tau$ of a finite group $G$ as the sum of all its irreducible characters. A question of K. W. Johnson asks whether the total character of a finite group can be expressed as a polynomial with integer coefficients in some irreducible character $\chi$ of $G$. We show that in the case of dihedral groups of twice odd order the question has an affirmative answer and we give the explicit polynomial.
Citation
Eirini Poimenidou. Amy Cottrell. "Total Characters of Dihedral Groups and Sharpness." Missouri J. Math. Sci. 12 (1) 12 - 25, Winter 2000. https://doi.org/10.35834/2000/1201012
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