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Matematicheskie Zametki, 2017, Volume 101, Issue 6, paper published in the English version journal (Mi mzm11015)  
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
Citations (2)
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
English version:
Mathematical Notes, 2017, Volume 101, Issue 6, Pages 1066–1067
DOI: https://doi.org/10.1134/S0001434617050352
Bibliographic databases:
Document Type: Article
Language: English
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
Citation in format AMSBIB
\Bibitem{NorSha17}
\by M.~Norooz-Abadian, H.~Sharifi
\paper A Note on the Rationality of Sylow 2-Subgroups of Rational Groups
\jour Math. Notes
\yr 2017
\vol 101
\issue 6
\pages 1066--1067
\mathnet{http://mi.mathnet.ru/mzm11015}
\crossref{https://doi.org/10.1134/S0001434617050352}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3669611}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85021298989}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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