Realizability of Two-dimensional Linear Groups over Rings of Integers of Algebraic Number Fields |
| |
Authors: | Dmitry Malinin Freddy Van Oystaeyen |
| |
Institution: | 1.Fakult?t für Mathematik und Informatik,Universit?t Mannheim,Mannheim,Germany;2.Department of Mathematics & Computer Science,University of Antwerp,Antwerpen,Belgium |
| |
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???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?×?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???GL(2m, O K ) such that O K G?=?M(2m, O K ). |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|