Zeros of Brauer characters |
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Authors: | Wang Huiqun Chen Xiaoyou Zeng Jiwen |
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Institution: | 1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China;2. College of Science, Henan University of Technology, Zhengzhou 450001, China;3. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China |
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Abstract: | The authors obtain a sufficient condition to determine whether an element is a vanishing regular element of some Brauer character. More precisely, let G be a finite group and p be a fixed prime, and H = G′ Op′ (G); if g ∈ G0 - H0 with o(gH) coprime to the number of irreducible p-Brauer characters of G, then there always exists a nonlinear irreducible p-Brauer character which vanishes on g. The authors also showin this note that the sums of certain irreducible p-Brauer characters take the value zero on every element of G0 - H0. |
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Keywords: | vanishing regular element Brauer character |
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