Galois groups of some vectorial polynomials

被引：7

作者：

Abhyankar, SS ^{[1
]}

Inglis, NFJ

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[2] Sultan Qaboos Univ, Dept Math & Stat, Al Khoud 123, Oman

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 353卷 / 07期

关键词：

D O I：

10.1090/S0002-9947-01-02744-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Previously nice vectorial equations were constructed having various finite classical groups as Galois groups. Here such equations are constructed for the remaining classical groups. The previous equations were genus zero equations. The present equations are strong genus zero.

引用

页码：2941 / 2969

页数：29

共 50 条

[1] Galois groups of generalized iterates of generic vectorial polynomials
Abhyankar, SS
Sundaram, GS
[J]. FINITE FIELDS AND THEIR APPLICATIONS, 2001, 7 (01) : 92 - 109
[2] On the Galois Groups of Some Recursive Polynomials
Monsef-Shokri, Khosro
[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (04) : 1919 - 1926
[3] On the Galois Groups of Some Recursive Polynomials
Khosro Monsef-Shokri
[J]. Bulletin of the Iranian Mathematical Society, 2022, 48 : 1919 - 1926
[4] Galois groups of iterates of some unicritical polynomials
Bush, Michael R.
Hindes, Wade
Looper, Nicole R.
[J]. ACTA ARITHMETICA, 2017, 181 (01) : 57 - 73
[5] Some polynomials over Q(t) and their Galois groups
Smith, GW
[J]. MATHEMATICS OF COMPUTATION, 2000, 69 (230) : 775 - 796
[6] Galois groups of Taylor polynomials of some elementary functions
Shokri, Khosro Monsef
Shaffaf, Jafar
Taleb, Reza
[J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2019, 15 (06) : 1127 - 1141
[7] Galois groups of some iterated polynomials over cyclotomic extensions
Wade Hindes
[J]. Archiv der Mathematik, 2018, 110 : 109 - 113
[8] Galois groups of some iterated polynomials over cyclotomic extensions
Hindes, Wade
[J]. ARCHIV DER MATHEMATIK, 2018, 110 (02) : 109 - 113
[9] GALOIS-GROUPS OVER Q OF SOME ITERATED POLYNOMIALS
STOLL, M
[J]. ARCHIV DER MATHEMATIK, 1992, 59 (03) : 239 - 244
[10] GALOIS-GROUPS OF POLYNOMIALS
YOSHIZAWA, M
[J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1984, 60 (04) : 127 - 129

← 1 2 3 4 5 →