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

来源：

MATHEMATICAL NOTES | 2017年 / 101卷 / 5-6期

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.

引用

页码：1066 / 1067

页数：2

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