Octonions, simple Moufang loops and triality

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dc.creatorNagy, Gábor P.
dc.creatorVojtěchovský, Petr
dc.date2007-01-24
dc.date.accessioned2026-07-07T07:42:52Z
dc.date.available2026-07-07T07:42:52Z
dc.descriptionNonassociative finite simple Moufang loops are exactly the loops constructed by Paige from Zorn vector matrix algebras. We prove this result anew, using geometric loop theory. In order to make the paper accessible to a broader audience, we carefully discuss the connections between composition algebras, simple Moufang loops, simple Moufang 3-nets, $S$-simple groups and groups with triality. Related results on multiplication groups, automorphisms groups and generators of Paige loops are provided.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/math/0701707
dc.identifierhttp://arxiv.org/abs/math/0701707
dc.identifierproceedings of Workshops Loops '03, Prague, published in Quasigroups and Related Systems 10 (2003), 65-93
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122607
dc.subjectGroup Theory
dc.subject20N05, 20D05
dc.titleOctonions, simple Moufang loops and triality
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