原始字符的零

IF 0.8 4区数学

数学研究 Pub Date : 2022-06-01 DOI:10.4208/jms.v55n1.22.05

Wenyang Wang null, N. Du

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引用次数: 0

摘要

.设G是一个有限群。G的一个不可约特征χ被认为是原始的，如果对于G的任何一个适当子群的特征χ。在本文中，我们考虑了原始字符的零。用Irr-pri（G）表示G的所有不可约原始特征的集合。我们证明了如果g∈g，并且因子群g/g′中的gG′的阶不除|Irr-pri（g）|，则存在Γ∈Irr-pri（g）使得Γ（g）=0。

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Zeros of Primitive Characters

. Let G be a ﬁnite group. An irreducible character χ of G is said to be primitive if χ 6 = ϑ G for any character ϑ of a proper subgroup of G . In this paper, we consider about the zeros of primitive characters. Denote by Irr pri ( 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 | Irr pri ( G ) | , then there exists ϕ ∈ Irr pri ( G ) such that ϕ ( g )= 0.

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来源期刊

数学研究 MATHEMATICS-

自引率

0.00%

发文量

1109

期刊介绍： Journal of Mathematical Study (JMS) is a comprehensive mathematical journal published jointly by Global Science Press and Xiamen University. It publishes original research and survey papers, in English, of high scientific value in all major fields of mathematics, including pure mathematics, applied mathematics, operational research, and computational mathematics.