Zeros of Primitive Characters
Year: 2022
Author: Wenyang Wang, Ni Du
Journal of Mathematical Study, Vol. 55 (2022), Iss. 1 : pp. 67–70
Abstract
Let G be a finite group. An irreducible character χ of G is said to be primitive if χ≠ϑG for any character ϑ of a proper subgroup of G. In this paper, we consider about the zeros of primitive characters. Denote by Irrpri(G) the set of all irreducible primitive characters of G. We proved that if g∈G and the order of gG′ in the factor group G/G′ does not divide |Irrpri(G)|, then there exists φ∈Irrpri(G) such that φ(g)=0.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v55n1.22.05
Journal of Mathematical Study, Vol. 55 (2022), Iss. 1 : pp. 67–70
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 4
Keywords: Finite group primitive character vanishing element.
Author Details
Wenyang Wang Email
Ni Du Email