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Integer Polynomials that are Reducible Modulo all Primes

โœ Scribed by Rolf Brandl


Book ID
121262823
Publisher
Mathematical Association of America
Year
1986
Tongue
English
Weight
423 KB
Volume
93
Category
Article
ISSN
0002-9890

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๐Ÿ“œ SIMILAR VOLUMES


Integer Polynomials with Roots mod p for
โœ Rolf Brandl ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 128 KB

Let f X be an integer polynomial which is a product of two irreducible factors. Assume that f X has a root mod p for all primes p. If the splitting field of f X over the rationals is a cyclic extension of the stem fields, then the Galois group of f X over the rationals is soluble and of bounded Fitt