Zeros of irreducible characters of metabelian pp-groups

  • Tom Wilde

    London, UK
Zeros of irreducible characters of metabelian $p$-groups cover
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Abstract

We show that if χ\chi is an irreducible complex character of a metabelian pp-group PP, where pp is an odd prime, and if xPx\in P satisfies χ(x)0\chi(x)\neq 0, then the order of xx divides $|P|\chi(1)^2.

Cite this article

Tom Wilde, Zeros of irreducible characters of metabelian pp-groups. Rend. Sem. Mat. Univ. Padova 141 (2019), pp. 9–18

DOI 10.4171/RSMUP/12