Higher rank subgroups in the class groups of imaginary function fields

被引：5

作者：

Lee, Yoonjin ^{[1
]}

Pacelli, Allison M.

机构：

[1] Simon Fraser Univ, Dept Math, Burnaby, BC V5A 1S6, Canada

[2] Williams Coll, Dept Math, Williamstown, MA 01267 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2006年 / 207卷 / 01期

关键词：

D O I：

10.1016/j.jpaa.2005.09.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let F be a finite field and T a transcendental element over F. In this paper, we construct, for integers m and n relatively prime to the characteristic of F(T), infinitely many imaginary function fields K of degree m over F(T) whose class groups contain subgroups isomorphic to (Z/nZ)(m). This increases the previous rank of m - 1 found by the authors in [Y. Lee, A. Pacelli, Class groups of imaginary function fields: The inert case, Proc. Amer. Math. Soc. 133 (2005) 2883-2889]. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：51 / 62

页数：12

共 13 条

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