On Factorisations of Matrices and Abelian Groups

2006/05/29 by Johan Andersson, Andersson, Johan, Gautami Bhowmik +1
Mathematics · #11M41 #15A36 #20K01 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #math.CO #math.NT #msc:11M41 #msc:15A36 #msc:20K01

paper · pdf · doi:10.48550/arxiv.math/0605727

18 pages, v2: Clarified definition 4. Changed "without zeroes" to "without real zeroes" at five places

arxiv created 2006/07/26 · arxiv updated 2009/12/01

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.

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