Dimension filtration on loops

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dc.creatorMostovoy, J.
dc.creatorPérez-Izquierdo, J. M.
dc.date2004-10-24
dc.date.accessioned2026-07-07T05:13:39Z
dc.date.available2026-07-07T05:13:39Z
dc.descriptionWe show that the graded group associated to the dimension filtration on a loop acquires the structure of a Sabinin algebra after being tensored with a field of characteristic zero. The key to the proof is the interpretation of the primitive operations of Umirbaev and Shestakov in terms of the operations on a loop that measure the failure of the associator to be a homomorphism.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0410516
dc.identifierhttp://arxiv.org/abs/math/0410516
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72986
dc.subjectGroup Theory
dc.subject20N05; 17D99
dc.titleDimension filtration on loops
dc.typetext

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