Anderson's module for cyclotomic fields of prime conductor

被引：6

作者：

Cornacchia, P ^{[1
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy

来源：

JOURNAL OF NUMBER THEORY | 1997年 / 67卷 / 02期

关键词：

D O I：

10.1006/jnth.1997.2184

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently G. Anderson introduced an explicit Galois module A that is closely related to the ideal class group of a cyclotomic field. We study A for a cyclotomic field L of prime conductor. We prove that A has the same Tate cohomology groups as the ideal class group of L and we show that the dual of A is a cyclic Galois module. In addition, we determine the structure of the 2-part of A for all L of conductor less than 10000. (C) 1997 Academic Press.

引用

页码：252 / 276

页数：25

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