期刊论文

Chen, Xiaoyou

英文

数学年刊：B辑英文版

0252-9599

2019

40

2

213-216

10.1007/s11401-019-0127-7

Manuscript received April 8, 2016. Revised March 9, 2017. 1School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, Jiangsu, China; College of Science, Henan University of Technology, Zhengzhou 450001, China. E-mail: cxymathematics@hotmail.com 2School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China. E-mail: chengang19762002@aliyun.com ∗This work was supported by the National Natural Science Foundation of China (Nos. 11571129, 11771356), the Natural Key Fund of Education Department of Henan Province (No. 17A110004) and the Natural Funds of Henan Province (Nos. 182102410049, 162300410066).

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Let G be a finite group and p be a fixed prime. A p-Brauer character of G is said to be monomial if it is induced from a linear p-Brauer character of some subgroup (not necessarily proper) of G. Denote by IBrm(G) the set of irreducible monomial p-Brauer characters of G. Let H = G′Op′ (G) be the smallest normal subgroup such that G/H is an abelian p′-group. Suppose that g ∈ G is a p-regular element and the order of gH in the factor group G/H does not divide |IBrm(G)|. Then there exists φ ∈ IBrm(G) such that φ(g) = 0. © 2019, Fudan Univ...