GALOIS GROUPS OVER FUNCTION FIELDS OF POSITIVE CHARACTERISTIC

被引：3

作者：

Conway, John ^{[1
]}

McKay, John ^{[2
,3
]}

Trojan, Allan ^{[4
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[2] Concordia Univ, Dept Math, Montreal, PQ H3G 1M8, Canada

[3] Concordia Univ, CICMA, Montreal, PQ H3G 1M8, Canada

[4] York Univ, Dept Math, Toronto, ON M3J 1P3, Canada

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 04期

关键词：

Galois groups; Mathieu groups; function fields; COVERINGS; LINE;

D O I：

10.1090/S0002-9939-09-10130-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove examples motivated by work of Serre and Abhyankar.

引用

页码：1205 / 1212

页数：8

共 11 条

[1] COVERINGS OF ALGEBRAIC CURVES [J].

ABHYANKAR, S .

AMERICAN JOURNAL OF MATHEMATICS, 1957, 79 (04) :825-856

[2] GALOIS THEORY ON THE LINE IN NONZERO CHARACTERISTIC [J].

ABHYANKAR, SS .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 27 (01) :68-133

[3]

ABHYANKAR SS, 1993, CR ACAD SCI I-MATH, V316, P267

[4]

Abhyankar SS, 2001, B AM MATH SOC, V38, P131

[5] SMALL DEGREE COVERINGS OF THE AFFINE LINE IN CHARACTERISTIC 2 [J].

ABHYANKAR, SS ;

YIE, I .

DISCRETE MATHEMATICS, 1994, 133 (1-3) :1-23

[6]

[Anonymous], ATLAS FINITE GROUP R

[7] SYMMETRICAL FUNCTIONS, M-SETS, AND GALOIS-GROUPS [J].

CASPERSON, D ;

MCKAY, J .

MATHEMATICS OF COMPUTATION, 1994, 63 (208) :749-757

[8]

CONWAY J, 1993, MATH ABSTR AM MATH S, P391

[9]

MACWILLIAMS FJ, 1977, THEORY ERROR CORRECT, P70

[10]

van der Waerden B.L., 1970, ALGEBRA, V1

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