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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 2, Pages 22–30 (Mi ivm7230)  
This article is cited in 4 scientific papers (total in 5 papers)

One class of equations solvable in radicals

L. I. Galieva, I. G. Galyautdinov

Chair of Algebra, Tatar State University of Humanities and Education, Kazan, Russia
Full-text PDF (207 kB) Citations (5)
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Abstract: We derive recurrent formulas for obtaining minimal polynomials for values of tangents and show that Galois groups of these polynomials are commutative. Thus we give examples of equations of arbitrarily high degrees solvable in radicals.
Keywords: Euler function, modulo residue system, irreducible polynomial, numeric field finite extension, extension degree, circular polynomial, Galois groups of polynomials and field extensions.
Received: 30.06.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 2, Pages 18–25
DOI: https://doi.org/10.3103/S1066369X11020034
Bibliographic databases:
Document Type: Article
UDC: 511.61
Language: Russian
Citation: L. I. Galieva, I. G. Galyautdinov, “One class of equations solvable in radicals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 2, 22–30; Russian Math. (Iz. VUZ), 55:2 (2011), 18–25
Citation in format AMSBIB
\Bibitem{GalGal11}
\by L.~I.~Galieva, I.~G.~Galyautdinov
\paper One class of equations solvable in radicals
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 2
\pages 22--30
\mathnet{http://mi.mathnet.ru/ivm7230}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2814818}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 2
\pages 18--25
\crossref{https://doi.org/10.3103/S1066369X11020034}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79953018057}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:33
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