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

被引：0
|
作者：
M. Norooz-Abadian
H. Sharifi
机构：
[1] Shahed University,Department of Mathematics, Faculty of Science
来源：
Mathematical Notes | 2017年 / 101卷
关键词：
irreducible character; rational group; transversally embedded subgroup;
D O I：
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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：1
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