Sylow's theorem for Moufang loops

Details Sylow's theorem for Moufang loops Sylow's theorem for Moufang loops

2007-09-17

arxiv.org/abs/0709.2696v1

J. Algebra, V 321, N 7 (2009), 1813--1825.

Mathematics

Group Theory

21 pages

Scientific paper

10.1016/j.jalgebra.2008.08.035

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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