Note on the rings of integers of certain tame 2-galois extensions over a number field

被引：0

作者：

H. Ichimura

机构：

[1] Ibaraki University,

来源：

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg | 2006年 / 76卷

关键词：

11R33;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For a number fieldF, we prove that any tame D4-extensionN/F has a normal integral basis (NIB) if and only if any tame (2, 2)-extensionK/F has a NIB.

引用

共 50 条

[1] Note on the rings of integers of certain tame 2-Galois extensions over a number field
Ichimura, H.
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2006, 76 (1): : 63 - 68
[2] On the relative Galois module structure of rings of integers in tame extensions
Agboola, Adebisi
McCulloh, Leon R.
ALGEBRA & NUMBER THEORY, 2018, 12 (08) : 1823 - 1886
[3] Maximal tame extensions over Hopf orders in rings of integers of p-adic number fields
Miyata, Y
JOURNAL OF ALGEBRA, 2004, 276 (02) : 794 - 825
[4] ON FROHLICH CONJECTURE FOR RINGS OF INTEGERS OF TAME EXTENSIONS
TAYLOR, MJ
INVENTIONES MATHEMATICAE, 1981, 63 (01) : 41 - 79
[5] On the ring of integers of a tame Kummer extension over a number field
Ichimura, H
JOURNAL OF PURE AND APPLIED ALGEBRA, 2004, 187 (1-3) : 169 - 182
[6] On power bases for rings of integers of relative Galois extensions
Akizuki, S.
Ota, K.
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2013, 45 : 447 - 452
[7] RINGS OF INTEGERS AND TRACE FORMS FOR TAME EXTENSIONS OF ODD DEGREE
TAYLOR, MJ
MATHEMATISCHE ZEITSCHRIFT, 1989, 202 (03) : 313 - 341
[8] On the self-duality of rings of integers in tame and abelian extensions
Tsang, Cindy
ACTA ARITHMETICA, 2019, 191 (02) : 151 - 171
[9] NOTE ON GALOIS COHOMOLOGY GROUP OF RING OF INTEGERS IN ALGEBRAIC NUMBER FIELD
YOKOI, H
PROCEEDINGS OF THE JAPAN ACADEMY, 1964, 40 (04): : 245 - &
[10] ON THE GALOIS MODULE STRUCTURE OF RINGS OF INTEGERS OF WILD ABELIAN EXTENSIONS
TAYLOR, MJ
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1995, 52 : 73 - 87

← 1 2 3 4 5 →