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Matematicheskie Zametki, 2017, Volume 101, Issue 6, paper published in the English version journal
(Mi mzm11015)
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This article is cited in 2 scientific papers (total in 2 papers)
Papers published in the English version of the journal
Brief Communications
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,
Tehran, Iran
Abstract:
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.
Keywords:
irreducible character, rational group, transversally embedded subgroup.
Received: 06.07.2013 Revised: 07.06.2016
Citation:
M. Norooz-Abadian, H. Sharifi, “A Note on the Rationality of Sylow 2-Subgroups of Rational Groups”, Math. Notes, 101:6 (2017), 1066–1067
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https://www.mathnet.ru/eng/mzm11015
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