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Finite groups with at most six vanishing conjugacy classes
Journal of Algebra and Its Applications ( IF 0.8 ) Pub Date : 2021-01-04 , DOI: 10.1142/s0219498822500761 Sajjad M. Robati 1 , M. R. Darafsheh
Journal of Algebra and Its Applications ( IF 0.8 ) Pub Date : 2021-01-04 , DOI: 10.1142/s0219498822500761 Sajjad M. Robati 1 , M. R. Darafsheh
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Let G be a finite group. We say that a conjugacy class of g in G is vanishing if there exists some irreducible character χ of G such that χ ( g ) = 0 . In this paper, we show that finite groups with at most six vanishing conjugacy classes are solvable or almost simple groups.
中文翻译:
至多有六个消失共轭类的有限群
让G 是一个有限群。我们说一个共轭类G 在G 如果存在某些不可约特征,则消失χ 的G 这样χ ( G ) = 0 . 在本文中,我们证明了最多有六个共轭消失类的有限群是可解的或几乎简单的群。
更新日期:2021-01-04
中文翻译:
至多有六个消失共轭类的有限群
让