Realizability of Two-dimensional Linear Groups over Rings of Integers of Algebraic Number Fields

被引：0

作者：

Dmitry Malinin

Freddy Van Oystaeyen

机构：

[1] Universität Mannheim,Fakultät für Mathematik und Informatik

[2] University of Antwerp,Department of Mathematics & Computer Science

来源：

Algebras and Representation Theory | 2011年 / 14卷

关键词：

Schur ring; Brauer reduction; Globally irreducible representations; Rings of integers; Algebraic number fields; 20G30; 20C10; 11R33; 11R29;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Given the ring of integers OK of an algebraic number field K, for which natural numbers n there exists a finite group G ⊂ GL(n, OK) such that OKG, the OK-span of G, coincides with M(n, OK), the ring of (n × n)-matrices over OK? 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, OK) such that OKG = M(2m, OK).

引用

页码：201 / 211

页数：10

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