We investigate whether the total character of a finite group G is a polynomial in a suitable irreducible character of G . When ( G , Z ( G )) is a generalized Camina pair, we show that the total character is a polynomial in a faithful irreducible character of G if and only if Z ( G ) is cyclic.
No takes yet. Share an insight, caveat, or question.
Prajapati et al. (2015) studied this question.