Geodesic
One class of equations solvable in radicals
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2011), pp. 22-30.

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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, Galois groups of polynomials and field extensions.
Mots-clés : circular polynomial 
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L. I. Galieva; I. G. Galyautdinov. One class of equations solvable in radicals. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2011), pp. 22-30. http://geodesic.mathdoc.fr/item/IVM_2011_2_a2/

[1] Kostrikin A. I., Vvedenie v algebru. Ch. 3. Osnovnye struktury, Fizmatlit, M., 2001

[2] Van der Varden B. L., Algebra, Nauka, M., 1979 | MR | Zbl

[3] Leng S., Algebra, Mir, M., 1968

[4] Burbaki N., Algebra, v. 2, Mnogochleny i polya, Nauka, M., 1965 | MR

[5] Galieva L. I., Galyautdinov I. G., “Klass mnogochlenov so svoistvami krugovykh mnogochlenov”, Vestn. Tatarsk. gos. gum.-ped. un-ta, 15:4 (2008), 32–35