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Moufang loops and alternative algebras |
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| Authors: | Ivan P. Shestakov |
| Affiliation: | Instituto de Matemática e Estatística, Universidade de São Paulo, Caixa Postal 66281 - CEP 05315-970, São Paulo, Brazil and Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia |
| Abstract: | Let  be the algebra  of classical real octonions or the (split) algebra of octonions over the finite field  . Then the quotient loop  of the Moufang loop  of all invertible elements of the algebra  modulo its center  is not embedded into a loop of invertible elements of any alternative algebra. |
| Keywords: | Moufang loop alternative algebra |
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