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Zeros of Primitive Characters

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 GG be a finite group. An irreducible character χχ of GG is said to be primitive if χϑGχϑG for any character ϑϑ of a proper subgroup of GG. In this paper, we consider about the zeros of primitive characters. Denote by Irrpri(G)Irrpri(G) the set of all irreducible primitive characters of GG. We proved  that  if gGgG and the order of gG in the factor group G/G does not divide |Irrpri(G)|, then there exists φIrrpri(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