Polynomials with roots mod p for all primes p

被引：17

作者：

Brandl, R

Bubboloni, D

Hupp, I

机构：

[1] Univ Wurzburg, Inst Math, D-97074 Wurzburg, Germany

[2] DIMAD, I-50134 Florence, Italy

[3] Inst Math, D-56075 Koblenz, Germany

来源：

JOURNAL OF GROUP THEORY | 2001年 / 4卷 / 02期

关键词：

D O I：

10.1515/jgth.2001.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：233 / 239

页数：7

共 10 条

[1]

[Anonymous], ENDLICHE GRUPPEN 1

[2]

[Anonymous], 1932, ACTA LITT SCI SZEGED

[3] INTEGER POLYNOMIALS THAT ARE REDUCIBLE MODULO ALL PRIMES [J].