On certain isomorphisms between absolute Galois groups

被引：3

作者：

Rovinsky, M

机构：

[1] Independent Univ Moscow, Moscow 121002, Russia

[2] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 101447, Russia

来源：

COMPOSITIO MATHEMATICA | 2003年 / 136卷 / 01期

关键词：

field automorphisms; absolute Galois groups;

D O I：

10.1023/A:1022652507139

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k be an algebraically closed field of characteristic zero, F be an algebraically closed extension of k of transcendence degree one, and G be the group of automorphisms over k of the field F. The purpose of this note is to calculate the group of continuous automorphisms of G.

引用

页码：61 / 67

页数：7

共 50 条

[31] On function fields with free absolute Galois groups
Harbater, David
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2009, 632 : 85 - 103
[32] The kernel generating condition and absolute Galois groups
Ido Efrat
Israel Journal of Mathematics, 2023, 257 : 217 - 250
[33] CHARACTERIZATION OF LOCAL FIELDS BY THEIR ABSOLUTE GALOIS GROUPS
JARDEN, M
RITTER, J
JOURNAL OF NUMBER THEORY, 1979, 11 (01) : 1 - 13
[34] On isomorphisms between Coxeter groups
Mühlherr, B
DESIGNS CODES AND CRYPTOGRAPHY, 2000, 21 (1-3) : 189 - 189
[35] ISOMORPHISMS BETWEEN GROUPS OF DIFFEOMORPHISMS
RYBICKI, T
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (01) : 303 - 310
[36] ON THE DESCENDING CENTRAL SEQUENCE OF ABSOLUTE GALOIS GROUPS
Efrat, Ido
Minac, Jan
AMERICAN JOURNAL OF MATHEMATICS, 2011, 133 (06) : 1503 - 1532
[37] Triple Massey products and absolute Galois groups
Efrat, Ido
Matzri, Eliyahu
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2017, 19 (12) : 3629 - 3640
[38] A REMARK ON THE STRUCTURE OF ABSOLUTE GALOIS-GROUPS
WURFEL, T
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 95 (03) : 353 - 356
[39] On Isomorphisms between Coxeter Groups
Bernhard Mühlherr
Designs, Codes and Cryptography, 2000, 21 : 189 - 189
[40] Detecting pro-p-groups that are not absolute Galois groups
Benson, Dave
Lemire, Nicole
Minac, Jan
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2007, 613 : 175 - 191

← 1 2 3 4 5 →