On Factorisations of Matrices and Abelian Groups

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dc.creatorAndersson, Johan
dc.creatorBhowmik, Gautami
dc.date2006-05-29
dc.date2006-07-26
dc.date.accessioned2026-07-07T07:14:36Z
dc.date.available2026-07-07T07:14:36Z
dc.descriptionWe 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.
dc.description18 pages, v2: Clarified definition 4. Changed "without zeroes" to "without real zeroes" at five places
dc.identifierhttps://arxiv.org/abs/math/0605727
dc.identifierhttp://arxiv.org/abs/math/0605727
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112942
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.subject11M41; 20K01; 15A36
dc.titleOn Factorisations of Matrices and Abelian Groups
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