Pro-p Galois groups of rank≥4

被引：0

作者：

Koenigsmann, J ^{[1
]}

机构：

[1] Univ Konstanz, Fak Math & Informat, D-78434 Constance, Germany

来源：

MANUSCRIPTA MATHEMATICA | 1998年 / 95卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be a prime > 2, let F be a field of characteristic not equal p containing a primitive p-th root of unity and let G(F)(p) be the Galois group of the maximal Galois-p-extension of F. If rkG(F)(p) less than or equal to 4 then G(F)(p) is, free pro-p product of metabelian groups or G(F)(p) is a Demuskin group of rank 4.

引用

页码：251 / 271

页数：21

共 50 条

[1] Pro-p galois groups of rank ≤4
Jochen Koenigsmann
manuscripta mathematica, 1998, 95 (1) : 251 - 271
[2] Pro-p Galois groups of rank ≤ 4
Koenigsmann J.
manuscripta mathematica, 1998, 95 (2) : 251 - 271
[3] Computing pro-p Galois groups
Boston, Nigel
Nover, Harris
ALGORITHMIC NUMBER THEORY, PROCEEDINGS, 2006, 4076 : 1 - 10
[4] Small maximal pro-p Galois groups
Efrat, I
MANUSCRIPTA MATHEMATICA, 1998, 95 (02) : 237 - 249
[5] Small maximal pro-p Galois groups
Ido Efrat
manuscripta mathematica, 1998, 95 (1) : 237 - 249
[6] Abelian subgroups of pro-p Galois groups
Engler, AJ
Koenigsmann, J
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 350 (06) : 2473 - 2485
[7] On Galois groups of unramified pro-p extensions
Sharifi, Romyar T.
MATHEMATISCHE ANNALEN, 2008, 342 (02) : 297 - 308
[8] Small maximal pro-p Galois groups
Efrat I.
manuscripta mathematica, 1998, 95 (2) : 237 - 249
[9] A recursive description of pro-p Galois groups
Engler, AJ
JOURNAL OF ALGEBRA, 2004, 274 (02) : 511 - 522
[10] On Galois groups of unramified pro-p extensions
Romyar T. Sharifi
Mathematische Annalen, 2008, 342 : 297 - 308

← 1 2 3 4 5 →