Finite groups

Cayley table

Named after the 19th century British mathematician Arthur Cayley, a Cayley table describes the structure of a finite group by arranging all the possible products of all the group's elements in a square table reminiscent of an addition or multiplication table. Many properties of a group – such as whether or not it is abelian, which elements are inverses of which elements, and the size and contents of the group's center – can be discovered from its Cayley table. A simple example of a Cayley table is the one for the group {1, −1} under ordinary multiplication: (Wikipedia).

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Related pages

Cancellation property | If and only if | Quasigroup | Sudoku | Kronecker delta | Reductio ad absurdum | Arthur Cayley | Permutation | Permutation group | Semigroup | Finite group | Multiplication | Dihedral group | Addition | Pigeonhole principle | Cyclic group | Quaternion group | Dihedral group of order 6 | Light's associativity test | Multiplication table | Inverse element | Magma (algebra) | Permutation matrix | Binary operation | Abelian group | Center (group theory) | Latin square