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Physical Sciences and Mathematics Commons™
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Articles 1 - 2 of 2
Full-Text Articles in Physical Sciences and Mathematics
Locally Finite Simple Moufang Loops, J. I. Hall
Locally Finite Simple Moufang Loops, J. I. Hall
Turkish Journal of Mathematics
A Moufang loop is a binary system that satisfies a particular weak form of the associative law. Doro and Glauberman observed that there is a direct connection between simple Moufang loops and simple groups with triality. Using this correspondence, Liebeck proved that nonassociative finite simple Moufang loops arise from split octonion algebras over finite fields. We extend Liebeck's theorem to the case of locally finite simple Moufang loops.
Barely Transitive Groups, Mahmut Kuzucuoğlu
Barely Transitive Groups, Mahmut Kuzucuoğlu
Turkish Journal of Mathematics
This is a survey article on barely transitive groups. It also involves some recent results in the case of a non-locally finite barely transitive group.