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- W2188712683 abstract "In the mid 1970s, Michel Racine classified the maximal subalgebras of an octonian algebra. In this paper, we classify the maximal associative subalgebras. It turns out that there are four, up to isomorphism, all of dimension [Formula: see text]. In final sections, we apply our findings to investigate the groups that sit inside the Moufang loop of invertible elements of the split octonians and also to show that a well-known inequality of Jørgensen holds in a new context." @default.
- W2188712683 created "2016-06-24" @default.
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- W2188712683 date "2016-11-24" @default.
- W2188712683 modified "2023-10-14" @default.
- W2188712683 title "Associative subalgebras of the octonians" @default.
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- W2188712683 doi "https://doi.org/10.1142/s0219498816501887" @default.
- W2188712683 hasPublicationYear "2016" @default.
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