Mat. Zametki, 2017, Volume 101, Issue 6, paper published in the English version journal
Papers published in the English version of the journal
A Note on the Rationality of Sylow 2-Subgroups of Rational Groups
M. Norooz-Abadian, H. Sharifi
Department of Mathematics, Faculty of Science, Shahed University,
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.
irreducible character, rational group, transversally embedded subgroup.
Mathematical Notes, 2017, 101:6, 1066–1067
M. Norooz-Abadian, H. Sharifi, “A Note on the Rationality of Sylow 2-Subgroups of Rational Groups”, Math. Notes, 101:6 (2017), 1066–1067
Citation in format AMSBIB
\by M.~Norooz-Abadian, H.~Sharifi
\paper A Note on the Rationality of Sylow 2-Subgroups of Rational Groups
\jour Math. Notes
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