RELATIVE POWER INTEGRAL BASES IN INFINITE FAMILIES OF QUARTIC EXTENSIONS OF QUADRATIC FIELDS

被引：0

作者：

Gaal, Istvan ^{[1
]}

Szabo, Timea ^{[1
]}

机构：

[1] Univ Debrecen, Math Inst, Pf 12, H-4010 Debrecen, Hungary

来源：

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2013年 / 29卷 / 01期

关键词：

power integral basis; monogenity; relative extensions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Considering infinite parametric families of octic fields, that are quartic extensions of quadratic fields, we describe all relative power integral bases of the octic fields over the quadratic subfields.Considering infinite parametric families of octic fields, that are quartic extensions of quadratic fields, we describe all relative power integral bases of the octic fields over the quadratic subfields.

引用

页码：31 / 43

页数：13

共 50 条

[1] Computing relative power integral bases in a family of quartic extensions of imaginary quadratic fields
Franusic, Zrinka
Jadrijevic, Borka
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2018, 92 (3-4): : 293 - 315
[2] Power integral bases in cubic and quartic extensions of real quadratic fields
Gaal, Istvan
Remete, Laszlo
[J]. ACTA SCIENTIARUM MATHEMATICARUM, 2019, 85 (3-5): : 413 - 429
[3] Power integral bases in cubic and quartic extensions of real quadratic fields
István Gaál
László Remete
[J]. Acta Scientiarum Mathematicarum, 2019, 85 : 413 - 429
[4] Computing power integral bases in quartic relative extensions
Gaál, I
Pohst, M
[J]. JOURNAL OF NUMBER THEORY, 2000, 85 (02) : 201 - 219
[5] Relative integral bases for quartic fields over quadratic subfields
Spearman, BK
Williams, KS
[J]. ACTA MATHEMATICA HUNGARICA, 1996, 70 (03) : 185 - 192
[6] POWER INTEGRAL BASES IN ORDERS OF FAMILIES OF QUARTIC FIELDS
GAAL, I
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 1993, 42 (3-4): : 253 - 263
[7] CYCLIC QUARTIC FIELDS WITH RELATIVE INTEGRAL BASES OVER THEIR QUADRATIC SUBFIELDS
SPEARMAN, BK
WILLIAMS, KS
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 103 (03) : 687 - 694
[8] CALCULATING RELATIVE POWER INTEGRAL BASES IN TOTALLY COMPLEX QUARTIC EXTENSIONS OF TOTALLY REAL FIELDS
Gaal, Istvan
[J]. JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2019, 44 (02): : 129 - 157
[9] On integral bases in relative quadratic extensions
[J]. Math Comput, 213 (319):
[10] On integral bases in relative quadratic extensions
Daberkow, M
Pohst, M
[J]. MATHEMATICS OF COMPUTATION, 1996, 65 (213) : 319 - 329

← 1 2 3 4 5 →