PROBABILISTIC GALOIS THEORY FOR QUARTIC POLYNOMIALS
نویسندگان
چکیده
منابع مشابه
Galois theory of Salem polynomials
Let f(x) 2 Z[x] be a monic irreducible reciprocal polynomial of degree 2d with roots r1, 1=r1, r2, 1=r2, . . . , rd, 1=rd. The corresponding trace polynomial g(x) of degree d is the polynomial whose roots are r1 +1=r1, . . . , rd +1=rd. If the Galois groups of f and g are Gf and Gg respectively, then Gg = Gf=N , where N is isomorphic to a subgroup of Cd 2 . In a naive sense, the generic case is...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2006
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089506003272