Similarity classes of 3x3 matrices over a local principal ideal ring
Group Theory
2010-06-15 v2 Rings and Algebras
Abstract
In this paper similarity classes of three by three matrices over a local principal ideal commutative ring are analyzed. When the residue field is finite, a generating function for the number of similarity classes for all finite quotients of the ring is computed explicitly.
Keywords
Cite
@article{arxiv.0708.1608,
title = {Similarity classes of 3x3 matrices over a local principal ideal ring},
author = {Nir Avni and Uri Onn and Amritanshu Prasad and Leonid Vaserstein},
journal= {arXiv preprint arXiv:0708.1608},
year = {2010}
}
Comments
14 pages, final version, to appear in Communications in Algebra