We show that if is an irreducible complex character of a metabelian -group , where is an odd prime, and if satisfies , then the order of divides $|P|\chi(1)^2.
Cite this article
Tom Wilde, Zeros of irreducible characters of metabelian -groups. Rend. Sem. Mat. Univ. Padova 141 (2019), pp. 9–18DOI 10.4171/RSMUP/12