Sylow's theorem for Moufang loops

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For finite Moufang loops, we prove an analog of the first Sylow theorem giving a criterion of the existence of a p-Sylow subloop. We also find the maximal order of p-subloops in the Moufang loops that do not possess p-Sylow subloops.
21 pages

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Group Theory, 08A05; 20N05; 17D05

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http://salesiana.dossiersoluciones.com/handle/123456789/230144

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.2696
 http://arxiv.org/abs/0709.2696
 J. Algebra, V 321, N 7 (2009), 1813--1825.
 doi:10.1016/j.jalgebra.2008.08.035

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arXiv