A finite Group of substitutions of elements for each other. For instance, the order 4 permutation group
would rearrange the elements
in the order
. A Substitution
Group of two elements is called a Transposition. Every Substitution Group with elements can be
written as a product of transpositions. For example,
See also Cayley's Group Theorem, Cycle (Permutation), Group, Substitution Group, Transposition