Simple Moufang loops and alternative algebras

2011/02/07 by N. I. Sandu, Nicolae Sandu, Sandu, Nicolae · 1 citation
Engineering · Mathematics · #History and Theory of Mathematics #Mathematics and Applications #graph theory and CDMA systems #math.GR #math.RA #msc:17D05 #msc:20N05

paper · pdf · doi:10.48550/arxiv.1102.1367

3 pages

arxiv created 2011/02/07 · arxiv updated 2011/02/08

Abstract

Let a Moufang loop Q contain a non-unitary subloop, which is a simple loop. Then Q is not embedded into a loop of invertible elements of any alternative algebra.

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• Radicals and embeddings of Moufang loops in alternative loop algebras

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