Nilpotency and dimension series for loops

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dc.creatorMostovoy, J.
dc.date2005-10-07
dc.date.accessioned2026-07-07T06:47:14Z
dc.date.available2026-07-07T06:47:14Z
dc.descriptionWe 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.
dc.description10 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0510161
dc.identifierhttp://arxiv.org/abs/math/0510161
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103588
dc.subjectGroup Theory
dc.subject20N05, 17D99
dc.titleNilpotency and dimension series for loops
dc.typetext

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