Nilpotency and dimension series for loops

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We take a step towards the development of a nilpotency theory for loops based on the commutator-associator filtration instead of the lower central series. This nilpotency theory shares many essential features with the associative case. In particular, we show that the isolator of the nth commutator-associator subloop coincides with the nth dimension subloop over a field of characteristic zero.
10 pages, no figures

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Group Theory, 20N05, 17D99

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http://salesiana.dossiersoluciones.com/handle/123456789/103588

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0510161
 http://arxiv.org/abs/math/0510161

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arXiv