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arXiv · 0709.2696

Sylow's theorem for Moufang loops

Alexander N. Grishkov·Andrei V. Zavarnitsine
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Abstract

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.

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Alexander N. Grishkov, Andrei V. Zavarnitsine. 2007-09-17. Sylow's theorem for Moufang loops. https://doi.org/10.1016/j.jalgebra.2008.08.035

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