Title
Realizability of two-dimensional linear groups over rings of integers of algebraic number fields Realizability of two-dimensional linear groups over rings of integers of algebraic number fields
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Subject
Mathematics
Source (journal)
Algebras and representation theory. - -
Volume/pages
14(2011) :2 , p. 201-211
ISSN
1386-923X
ISI
000288164400001
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Given the ring of integers O (K) of an algebraic number field K, for which natural numbers n there exists a finite group G aS,aEuro parts per thousand GL(n, O (K) ) such that O (K) G, the O (K) -span of G, coincides with M(n, O (K) ), the ring of (n x n)-matrices over O (K) ? The answer is known if n is an odd prime. In this paper we study the case n = 2; in the cases when the answer is positive for n = 2, for n = 2m there is also a finite group G aS,aEuro parts per thousand GL(2m, O (K) ) such that O (K) G = M(2m, O (K) ).
E-info
https://repository.uantwerpen.be/docman/iruaauth/a54f9f/4e16361.pdf
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