A construction of commutative Moufang loops and quasimodules
Tomáš Kepka (1986)
Commentationes Mathematicae Universitatis Carolinae
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Tomáš Kepka (1986)
Commentationes Mathematicae Universitatis Carolinae
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Tomáš Kepka, Petr Němec (1980)
Commentationes Mathematicae Universitatis Carolinae
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Tomáš Kepka, Petr Němec (1990)
Acta Universitatis Carolinae. Mathematica et Physica
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Aleš Drápal (2004)
Commentationes Mathematicae Universitatis Carolinae
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A loop is said to be left conjugacy closed (LCC) if the set is closed under conjugation. Let be such a loop, let and be the left and right multiplication groups of , respectively, and let be its inner mapping group. Then there exists a homomorphism determined by , and the orbits of coincide with the cosets of , the associator subloop of . All LCC loops of prime order are abelian groups.