On unramified Galois extensions constructed using Galois representations |
| |
Authors: | Hiroyuki Hasebe |
| |
Institution: | (1) Department of Mathematics, Faculty of Science, Kyoto University, Kyoto, 606-8502, Japan. e-mail: hasebe@kusm.kyoto-u.ac.jp, JP |
| |
Abstract: | For a field k, We denote the maximal abelian extension of k by k
ab
and (K
ab
r−1
ab
by k
ab
r
. In this paper, unramified Galois extensions over k
ab
r
are constructed using Galois representations of arbitrary dimension with larger coefficient rings.
Received: 31 August 2001 / Revised version: 22 March 2002
Mathematics Subject Classification (2000): 11R21 |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|