Let f(X) be an integer polynomial of degree m with no linear factors, and assume that its Galois group is the (most common) symmetric group S_n, (n less than or equal to m). If f(X) has a root module p for all primes p, then 3 less than or equal to n less than or equal to 6.

Polynomials with roots mod p for all primes p / BRANDL R; D. BUBBOLONI; HUPP I. - In: JOURNAL OF GROUP THEORY. - ISSN 1433-5883. - STAMPA. - 4:(2001), pp. 233-239. [10.1515/jgth.2001.020]

Polynomials with roots mod p for all primes p

BUBBOLONI, DANIELA;
2001

Abstract

Let f(X) be an integer polynomial of degree m with no linear factors, and assume that its Galois group is the (most common) symmetric group S_n, (n less than or equal to m). If f(X) has a root module p for all primes p, then 3 less than or equal to n less than or equal to 6.
2001
4
233
239
BRANDL R; D. BUBBOLONI; HUPP I
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/250001
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