Groups whose non-linear irreducible characters are rational valued

被引:13
|
作者
Darafsheh, M. R. [1 ]
Iranmanesh, A. [2 ]
Moosavi, S. A. [3 ]
机构
[1] Univ Tehran, Coll Sci, Sch Math, Tehran, Iran
[2] Tarbiat Modares Univ, Fac Math Sci, Dept Math, Tehran, Iran
[3] Tarbiat Modares Univ, Fac Math Sci, Dept Pure Math, Tehran, Iran
关键词
Q-group; Q(1)-group; Frobenius group; Solvable group; Nilpotent group; Vanishing-off subgroup; Rational valued character;
D O I
10.1007/s00013-010-0110-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A finite group G all of whose nonlinear irreducible characters are rational is called a Q(1)-group. In this paper, we obtain some results concerning the structure of Q(1)-groups.
引用
收藏
页码:411 / 418
页数:8
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