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On Factorisations of Matrices and Abelian Groups

Research paper by Johan Andersson, Gautami Bhowmik

Indexed on: 26 Jul '06Published on: 26 Jul '06Published in: Mathematics - Number Theory



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.