On counting rings of integers as Galois modules

被引:2
|
作者
Agboola, A. [1 ]
机构
[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA
关键词
ABELIAN EXTENSIONS;
D O I
10.1515/CRELLE.2011.090
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let K be a number field and G a finite abelian group. We study the asymptotic behaviour of the number of tamely ramified G-extensions of K with ring of integers of fixed realisable class as a Galois module.
引用
收藏
页码:1 / 31
页数:31
相关论文
共 50 条
  • [31] ON THE GALOIS MODULE STRUCTURE OF IDEALS AND RINGS OF ALL INTEGERS OF P-ADIC NUMBER-FIELDS
    MIYATA, Y
    JOURNAL OF ALGEBRA, 1995, 177 (03) : 627 - 646
  • [32] Free field primaries in general dimensions: counting and construction with rings and modules
    Koch, Robert de Mello
    Ramgoolam, Sanjaye
    JOURNAL OF HIGH ENERGY PHYSICS, 2018, (08):
  • [33] Free field primaries in general dimensions: counting and construction with rings and modules
    Robert de Mello Koch
    Sanjaye Ramgoolam
    Journal of High Energy Physics, 2018
  • [34] Galois cohomology for Lubin-Tate (φq, ΓLT)-modules over coefficient rings
    Aribam, Chandrakant
    Kwatra, Neha
    RESEARCH IN NUMBER THEORY, 2022, 8 (04)
  • [35] FACTOR RINGS OF INTEGERS
    JOHNSON, S
    AMERICAN MATHEMATICAL MONTHLY, 1989, 96 (06): : 521 - 522
  • [36] ON THE STRUCTURE OF GALOIS-GROUPS AS GALOIS MODULES
    JANNSEN, U
    LECTURE NOTES IN MATHEMATICS, 1984, 1068 : 109 - 126
  • [37] GALOIS p-GROUPS AND GALOIS MODULES
    Chebolu, Sunil
    Minac, Jan
    Schultz, Andrew
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2016, 46 (05) : 1405 - 1446
  • [38] Projections of Galois Rings
    S. S. Korobkov
    Algebra and Logic, 2015, 54 : 10 - 22
  • [39] Nonassociative Galois rings
    Gonzalez, S.
    Markov, V.T.
    Martinez, C.
    Nechaev, A.A.
    Rua, I.F.
    Discrete Mathematics and Applications, 2002, 12 (06): : 591 - 606