Central Units in Metacyclic Integral Group Rings

In this article, we give a method to compute the rank of the subgroup of central units of ℤ G, for a finite metacyclic group, G, by means of ℚ-classes and ℝ-classes. Then we construct a multiplicatively independent set  ⊂  (U(ℤ C p, q )) and by applying our results, we prove that generates a subgrou...

Full description

Saved in:
Bibliographic Details
Published in:Communications in algebra 2008-10, Vol.36 (10), p.3708-3722
Main Authors: Ferraz, Raul Antonio, Simón-Pınero, Juan Jacobo
Format: Article
Language:English
Subjects:
Central units
Finite groups
Group rings
Metacyclic groups
Primary 20C05
Secondary 16S34
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article, we give a method to compute the rank of the subgroup of central units of ℤ G, for a finite metacyclic group, G, by means of ℚ-classes and ℝ-classes. Then we construct a multiplicatively independent set  ⊂  (U(ℤ C p, q )) and by applying our results, we prove that generates a subgroup of finite index.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927870802158028