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• W1978361003 endingPage "886" @default.
• W1978361003 startingPage "881" @default.
• W1978361003 abstract "Let $k$ be an algebraic number field. Let $alpha$ be a root of a polynomial $fin k[x]$ which is solvable by radicals. Let $L$ be the splitting field of $alpha$ over $k$. Let $n$ be a natural number divisible by the discriminant of the maximal abelian subextension of $L$, as well as the exponent of $G(L/k)$, the Galois group of $L$ over $k$. We show that an optimal nested radical with roots of unity for $alpha$ can be effectively constructed from the derived series of the solvable Galois group of $L(zeta _n )$ over $k(zeta _n )$." @default.
• W1978361003 created "2016-06-24" @default.
• W1978361003 creator A5027818886 @default.
• W1978361003 creator A5034933367 @default.
• W1978361003 date "1999-04-01" @default.
• W1978361003 modified "2023-09-25" @default.
• W1978361003 title "Solving polynomials by radicals with roots of unity in minimum depth" @default.
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• W1978361003 doi "https://doi.org/10.1090/s0025-5718-99-01060-1" @default.
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