Dimension filtration on loops

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We 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.
8 pages

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Group Theory, 20N05; 17D99

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http://salesiana.dossiersoluciones.com/handle/123456789/72986

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410516
 http://arxiv.org/abs/math/0410516

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arXiv