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On Curtis' theorem about finite octonionic loops
Authors:Paul Boddington   Dmitriy Rumynin
Affiliation:Department of Mathematics, University of Warwick, Coventry, CV4 7AL, United Kingdom ; Department of Mathematics, University of Warwick, Coventry, CV4 7AL, United Kingdom
Abstract:We prove a stronger version of Curtis' classification theorem of finite subloops of the Cayley octonions $ mathbb{O}$.

Keywords:Octonions   quaternions   loop   root system
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