On Factorisations of Matrices and Abelian Groups
Number Theory
2007-05-23 v2 Combinatorics
Abstract
We establish correspondances between factorisations of finite abelian groups (direct factors, unitary factors, non isomorphic subgroup classes) and factorisations of integer matrices. We then study counting functions associated to these factorisations and find average orders.
Cite
@article{arxiv.math/0605727,
title = {On Factorisations of Matrices and Abelian Groups},
author = {Johan Andersson and Gautami Bhowmik},
journal= {arXiv preprint arXiv:math/0605727},
year = {2007}
}
Comments
18 pages, v2: Clarified definition 4. Changed "without zeroes" to "without real zeroes" at five places