Example image of eyePlorer eyePlorer map for 'Moufang loop': Algebraic structure Mathematics Associativity Group (mathematics) Ruth Moufang Identity (mathematics) Quasigroup Octonion N-sphere Split-octonion Octonion algebra Alternative algebra Characteristic (algebra) Finite field If and only if Monster group Richard A. Parker Binary Golay code Alternativity Power associativity Inverse element Isotopy of loops Lagrange's theorem (group theory) Loop Nova Publishers Problems in loop theory and quasigroup theory Bol loop List of algebraic structures