Annihilators for the class group of a cyclic field of prime power degree III

被引：5

作者：

Greither, Cornelius ^{[1
,2
]}

Kucera, Radan ^{[3
]}

机构：

[1] Univ Bundeswehr Munchen, Inst Theoreti Informat Math, D-85577 Neubiberg, Germany

[2] Univ Bundeswehr Munchen, Fak Informat, D-85577 Neubiberg, Germany

[3] Masaryk Univ, Fac Sci, CS-61137 Brno, Czech Republic

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2015年 / 86卷 / 3-4期

关键词：

annihilators; class group; circular (cyclotomic) units; cyclic fields; IDEAL;

D O I：

10.5486/PMD.2015.7029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this series of papers is to study cyclic extensions of Q of odd prime power degree. This paper, which is the third of this series, concentrates on the situation where some of the ramified primes are (partially) decomposed.

引用

页码：401 / 421

页数：21

共 6 条

[1]

[Anonymous], 1990, Graduate Texts in Mathematics, DOI DOI 10.1007/978-1-4612-0987-4

[2] Annihilators for the class group of a cyclic field of prime power degree, 11 [J].

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Kucera, R .

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[3] Annihilators for the class group of a cyclic field of prime power degree [J].

Greither, C ;

Kucera, R .

ACTA ARITHMETICA, 2004, 112 (02) :177-198

[4] EIGENSPACES OF THE IDEAL CLASS GROUP [J].

Greither, Cornelius ;

Kucera, Radan .

ANNALES DE L INSTITUT FOURIER, 2014, 64 (05) :2165-2203

[5] Linear forms on Sinnott's module [J].

Greither, Cornelius ;

Kucera, Radan .

JOURNAL OF NUMBER THEORY, 2014, 141 :324-342

[6] ON THE STICKELBERGER IDEAL AND THE CIRCULAR UNITS OF AN ABELIAN FIELD [J].

SINNOTT, W .

INVENTIONES MATHEMATICAE, 1980, 62 (02) :181-234

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