Abelian p-class field towers over the cyclotomic Zp-extensions of imaginary quadratic fields

被引：9

作者：

Okano, Keiji ^{[1
]}

机构：

[1] Waseda Univ, Sch Sci & Engn, Dept Math Sci, Shinjuku Ku, Tokyo 1698555, Japan

来源：

ACTA ARITHMETICA | 2006年 / 125卷 / 04期

关键词：

D O I：

10.4064/aa125-4-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：363 / 381

页数：19

共 50 条

[21] Finite Λ-submodules of Selmer groups of abelian varieties over cyclotomic Zp-extensions
Matsuno, K
JOURNAL OF NUMBER THEORY, 2003, 99 (02) : 415 - 443
[22] A construction of normal bases over the Hilbert p-class field of imaginary quadratic fields
Itoh, T
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1998, 74 (01) : 25 - 28
[23] REMARK ON RATIONAL POINTS OF ABELIAN VARIETIES WITH VALUES IN CYCLOTOMIC ZP-EXTENSIONS
IMAI, H
PROCEEDINGS OF THE JAPAN ACADEMY, 1975, 51 (01): : 12 - 16
[24] HEURISTICS FOR p-CLASS TOWERS OF REAL QUADRATIC FIELDS
Boston, Nigel
Bush, Michael R.
Hajir, Farshid
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2021, 20 (04) : 1429 - 1452
[25] CLASS FIELD TOWERS OF IMAGINARY QUADRATIC FIELDS
BRINK, JR
GOLD, R
MANUSCRIPTA MATHEMATICA, 1987, 57 (04) : 425 - 450
[26] On a power integral bases problem over cyclotomic Zp-extensions
Ichimura, H
JOURNAL OF ALGEBRA, 2000, 234 (01) : 90 - 100
[27] INTEGRAL-REPRESENTATIONS OF P-CLASS GROUPS IN ZP-EXTENSIONS, SEMISIMPLE DIFFERENTIALS AND JACOBIANS
SALVADOR, GDV
MADAN, ML
ARCHIV DER MATHEMATIK, 1991, 56 (03) : 254 - 269
[28] Iwasawa invariants on non-cyclotomic Zp-extensions of CM fields
Goto, Hideki
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2006, 82 (09) : 152 - 154
[29] The commutativity of the Galois groups of the maximal unramified pro-p-extensions over the cyclotomic Zp-extensions
Okano, Keiji
JOURNAL OF NUMBER THEORY, 2012, 132 (04) : 806 - 819
[30] ON THE LAMBDA-INVARIANTS OF ZP-EXTENSIONS OF REAL QUADRATIC FIELDS
FUKUDA, T
KOMATSU, K
JOURNAL OF NUMBER THEORY, 1986, 23 (02) : 238 - 242

← 1 2 3 4 5 →