Groups whose set of vanishing elements is the union of at most three conjugacy classe

被引:3
|
作者
Robati, Sajjad Mahmood [1 ]
机构
[1] Imam Khomeini Int Univ, Fac Sci, Dept Math, Qazvin, Iran
关键词
Finite groups; vanishing elements; conjugacy classes;
D O I
10.36045/bbms/1553047230
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let G be a finite group. We say that an element g in G is a vanishing element if there exists some irreducible character chi of G such that chi(g) = 0. In this paper, we prove that if the set of vanishing elements of G is the union of at most three conjugacy classes, then G is solvable.
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页码:85 / 89
页数:5
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