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- W2329680491 abstract "A classic result of Ritt describes polynomials invertible in radicals: they are compositions of power polynomials, Chebyshev polynomials and polynomials of degree at most 4. In this paper we prove that a polynomial invertible in radicals and solutions of equations of degree at most k is a composition of power polynomials, Chebyshev polynomials, polynomials of degree at most k and, if $$kle 14$$ , certain polynomials with exceptional monodromy groups. A description of these exceptional polynomials is given. The proofs rely on classification of monodromy groups of primitive polynomials obtained by Müller based on group-theoretical results of Feit and on previous work on primitive polynomials with exceptional monodromy groups by many authors." @default.
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- W2329680491 date "2016-02-09" @default.
- W2329680491 modified "2023-10-04" @default.
- W2329680491 title "Polynomials Invertible in k-Radicals" @default.
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- W2329680491 doi "https://doi.org/10.1007/s40598-015-0036-0" @default.
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