Moufang Loops of Small Order
Orin Chein
Jan 1978 · American Mathematical Society: Memoirs of the American Mathematical Society Ibhuku elingu-197 · American Mathematical Soc.
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In this paper, all nonassociative Moufang loops of order [less-than or equal to symbol] 63 are found, and their properties are investigated. Each of these loops is solvable, satisfies Lagrange's Theorem, has Sylow subloops, and is isomorphic to all of its loop isotopes. All of the loops in question contain normal subgroups of small index, and some general techniques of constructing such loops are discussed.
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