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：

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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。