Abstract | ||
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We construct a sequence of univariate polynomials over an arbitrary Hilbertian field which are easy to compute and have symmetric Galois group. As a consequence we obtain that in any complexity class almost all polynomials have symmetric Galois group. All factors of such polynomials with suitable degree and coefficients from the decomposition field are hard to compute. |
Year | DOI | Venue |
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1986 | 10.1016/0304-3975(86)90137-4 | Theor. Comput. Sci. |
Keywords | DocType | Volume |
symmetric Galois group | Journal | 47 |
Issue | ISSN | Citations |
1 | Theoretical Computer Science | 4 |
PageRank | References | Authors |
0.67 | 3 | 1 |