On unramified Galois extensions constructed using Galois representations

被引：0
|
作者：
Hasebe, H [1 ]
机构：
[1] Kyoto Univ, Fac Sci, Dept Math, Kyoto 6068502, Japan
来源：
MANUSCRIPTA MATHEMATICA | 2002年 / 109卷 / 02期
关键词：
D O I：
10.1007/s002290200282
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For afield k, We denote the maximal abelian extension of k by k(ab) and (k(ab)r-1)ab by k(ab)r. In this paper, unramified Galois extensions over k(ab)r are constructed using Galois representations of arbitrary dimension with larger coefficient rings.
引用
收藏
页码：151 / 158
页数：8
相关论文
共 50 条
  • [31] WEAK HOPF GALOIS EXTENSIONS AND P-GALOIS EXTENSIONS OF A RING
    NAKAJIMA, A
    COMMUNICATIONS IN ALGEBRA, 1995, 23 (08) : 2851 - 2862
  • [32] Galois module structure of unramified covers
    Georgios Pappas
    Mathematische Annalen, 2008, 341 : 71 - 97
  • [33] On the existence of finite Galois stable groups over integers in unramified extensions of number fields
    Malinin, DA
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2002, 60 (1-2): : 179 - 191
  • [34] Galois Groups, Galois Representations and Iwasawa Theory
    R. Sujatha
    Journal of the Indian Institute of Science, 2022, 102 : 855 - 859
  • [35] Galois Representations and the Tame Inverse Galois Problem
    Arias-de-Reyna, Sara
    Vila, Nuria
    WIN - WOMEN IN NUMBERS: RESEARCH DIRECTIONS IN NUMBER THEORY, 2011, 60 : 277 - 288
  • [36] Galois Representations and Galois Groups Over Q
    Arias-de-Reyna, Sara
    Armana, Cecile
    Karemaker, Valentijn
    Rebolledo, Marusia
    Thomas, Lara
    Vila, Nuria
    WOMEN IN NUMBERS EUROPE: RESEARCH DIRECTIONS IN NUMBER THEORY, 2015, 2 : 191 - 205
  • [37] EXTENSIONS OF GALOIS CONNECTIONS
    VENUGOPALAN, P
    HOUSTON JOURNAL OF MATHEMATICS, 1990, 16 (02): : 249 - 254
  • [38] FACTORIZATION OF GALOIS EXTENSIONS
    HACQUE, M
    COMMUNICATIONS IN ALGEBRA, 1990, 18 (06) : 1805 - 1856
  • [39] On the Characterization of Galois Extensions
    Geck, Meinolf
    AMERICAN MATHEMATICAL MONTHLY, 2014, 121 (07): : 637 - 639
  • [40] Galois Groups, Galois Representations and Iwasawa Theory
    Sujatha, R.
    JOURNAL OF THE INDIAN INSTITUTE OF SCIENCE, 2022, 102 (3) : 855 - 859
12345