Table of Contents
ISRN Algebra
Volume 2013, Article ID 638623, 4 pages
Research Article

On Finite Nilpotent Matrix Groups over Integral Domains

Department of Mathematics, UWI, Mona Campus, Kingston 7, Jamaica

Received 31 October 2013; Accepted 19 November 2013

Academic Editors: I. Cangul and N. Jing

Copyright © 2013 Dmitry Malinin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider finite nilpotent groups of matrices over commutative rings. A general result concerning the diagonalization of matrix groups in the terms of simple conditions for matrix entries is proven. We also give some arithmetic applications for representations over Dedekind rings.