On efficient computation of the 2-parts of ideal class groups of quadratic fields

被引：2

作者：

Basilla, JM ^{[1
]}

Wada, H ^{[1
]}

机构：

[1] Sophia Univ, Dept Math, Chiyoda Ku, Tokyo 1028554, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2004年 / 80卷 / 10期

关键词：

ternary quadrartic form; quadratic field; ideal class group; 2-part;

D O I：

10.3792/pjaa.80.191

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We shall show a relation between Gauss' ternary quadratic form and an ideal of a quadratic field. Using this relation, we can compute rapidly the 2-part of ideal class group of a quadratic field in narrow sense and in wide sense.

引用

页码：191 / 193

页数：3

共 36 条

[1] IMPROVEMENTS IN THE COMPUTATION OF IDEAL CLASS GROUPS OF IMAGINARY QUADRATIC NUMBER FIELDS
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[3] Ideal class groups of imaginary quadratic fields
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[4] Ideal class groups and their subgroups of real quadratic fields
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[5] Ideal class groups and their subgroups of real quadratic fields
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[6] REMARKS ON QUADRATIC FIELDS WITH NONCYCLIC IDEAL CLASS GROUPS
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[7] Ideal class groups and their subgroups of real quadratic fields
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[8] Ideal Class Groups and Subgroups of Real Quadratic Function Fields
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[9] THE DETERMINATION OF SUBGROUPS IN IDEAL CLASS GROUPS OF REAL QUADRATIC FIELDS
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[10] THE DETERMINATION OF SUBGROUPS IN IDEAL CLASS-GROUPS OF REAL QUADRATIC FIELDS
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CHINESE SCIENCE BULLETIN, 1992, 37 (11): : 890 - 893

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