Please use this identifier to cite or link to this item:
https://scholarbank.nus.edu.sg/handle/10635/23764
Title: | Minimum Ramification for Finite Abelian Extensions Over Q and Q(i) | Authors: | OH SWEE LONG KEVIN | Keywords: | minimum, ramification, abelian, extension, group, primes | Issue Date: | 29-Dec-2010 | Citation: | OH SWEE LONG KEVIN (2010-12-29). Minimum Ramification for Finite Abelian Extensions Over Q and Q(i). ScholarBank@NUS Repository. | Abstract: | The minimum number of finite primes that must ramify for a given finite abelian group to be realized over Q and Q(i) is given. To this end, we give a criterion for the existence of a surjection from a finitely generated abelian pro-pi group onto a finite abelian group. Class field theory is then applied to find the Galois group of the maximal abelian extension over Q and Q(i). The surjection criterion is then applied to each case to solve the minimum ramification of each finite abelian group. | URI: | http://scholarbank.nus.edu.sg/handle/10635/23764 |
Appears in Collections: | Master's Theses (Open) |
Show full item record
Files in This Item:
File | Description | Size | Format | Access Settings | Version | |
---|---|---|---|---|---|---|
Main.pdf | 539.58 kB | Adobe PDF | OPEN | None | View/Download |
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.