Imaginary quadratic fields k with Cl2(k) ≃ (2, 2m) and rank Cl2(k1)=2

被引：15

作者：

Benjamin, E ^{[1
]}

Lemmermeyer, F

Snyder, C

机构：

[1] Unity Coll, Unity, ME 04988 USA

[2] CSU San Marcos, San Marcos, CA 92096 USA

[3] Univ Maine, Orono, ME 04469 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2001年 / 198卷 / 01期

关键词：

D O I：

10.2140/pjm.2001.198.15

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k be an imaginary quadratic number field and k(1) the Hilbert 2-class field of k. We give a characterization of those k with Cl-2(k) similar or equal to (2, 2(m)) such that Cl-2(k(1)) has 2 generators.

引用

页码：15 / 31

页数：17

共 14 条

[1] Imaginary quadratic fields k with cyclic Cl2(k1) [J].

Benjamin, E ;

Lemmermeyer, F ;

Snyder, C .

JOURNAL OF NUMBER THEORY, 1997, 67 (02) :229-245

[2]

Blackburn N., 1957, P CAMBRIDGE PHILOS S, V53, P19, DOI DOI 10.1017/S0305004100031959

[3]

Blackburn N., 1958, Proc. Cambridge Philos. Soc., V54, P327

[4]

GRAS G, 1973, ANN I FOURIER, V23, P1

[5]

HALL P, 1933, P LOND MATH SOC, V36, P29, DOI 10.1112/plms/s2-36.1.29

[6]

HASSE H, 1965, BERICHT NEUERE UNT 2

[7]

Hilbert D, 1899, Math. Ann, V51, P1

[8]

Huppert B., 1967, Endliche Gruppen I, VI

[9]

LANG S, 1990, CYCLOTOMIC FIELDS, V2

[10]

LANG S, 1990, CYCLOTOMIC FIELDS, V1

← 1 2 →