Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/37908
標題: Solving polynomials by radicals with roots of unity in minimum depth
作者: Horng, G.
洪國寶
Huang, M.D.
關鍵字: polynomials
solvable by radicals
simplification
期刊/報告no:: Mathematics of Computation, Volume 68, Issue 226, Page(s) 881-885.
摘要: Let k be an algebraic number field. Let alpha be a root of a polynomial f epsilon k[x] which is solvable by radicals. Let L be the splitting field of alpha over Ic. 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 ct can be effectively constructed from the derived series of the solvable Galois group of L(zeta(n)) over k(zeta(n)).
URI: http://hdl.handle.net/11455/37908
ISSN: 0025-5718
文章連結: http://dx.doi.org/10.1090/s0025-5718-99-01060-1
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