A note on the rationality of Sylow 2-subgroups of rational groups

被引:2
|
作者
Norooz-Abadian, M. [1 ]
Sharifi, H. [1 ]
机构
[1] Shahed Univ, Fac Sci, Dept Math, Tehran, Iran
关键词
irreducible character; rational group; transversally embedded subgroup;
D O I
10.1134/S0001434617050352
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A finite group whose all irreducible characters are rational valued is called a rational group. Using the concept of transversal action, we get a sufficient condition on non Abelian rational groups that guarantees every Sylow 2-subgroup is also rational. This gives a partial answer to an old conjecture rationality of Sylow 2-subgroup of rational group.
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页码:1066 / 1067
页数:2
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