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

作者：Norooz Abadian M^*; Sharifi H

来源：Mathematical Notes, 2017, 101(5-6): 1066-1067.

DOI：10.1134/S0001434617050352

• irreducible character
• rational group
• transversally embedded subgroup

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.

• 出版日期2017-5