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SPLITTING AUTOMORPHISMS AND MOUFANG LOOPS
Published online by Cambridge University Press: 19 May 2004
Abstract
It is known that the concept of Moufang loops, Moufang 3-nets and groups with triality are strongly related. Due to S. Doro, a group with a splitting automorphism of order 3 can lead to a group with triality. This construction naturally appears in the classification of simple Moufang loops. In this paper, we consider groups with triality related to groups with splitting automorphism. We give a classification of Moufang loops corresponding to this construction.
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- Research Article
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- 2004 Glasgow Mathematical Journal Trust
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