On Factorisations of Matrices and Abelian Groups

Details On Factorisations of Matrices and Abelian Groups On Factorisations of Matrices and Abelian Groups

2006-05-29

arxiv.org/abs/math/0605727v2

Mathematics

Number Theory

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

Scientific paper

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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