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Multiplication table
Multiplication - Wikipedia ... Multiplication
The group {1, ā1} above and the cyclic group of order 3 under ordinary multiplication are both examples of abelian groups, and inspection of the symmetry of their Cayley tables verifies this. In contrast, the smallest non-abelian group, the dihedral group of order 6, does not have a symmetric Cayley table.
Multiplication algorithm
Lattice multiplication
Arithmetic. A visualization of a 4D extension to the cubic octonion, [2] showing the 35 triads as hyperplanes through the real vertex of the sedenion example given. Like octonions, multiplication of sedenions is neither commutative nor associative. But in contrast to the octonions, the sedenions do not even have the property of being alternative.
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