Any two translations are permutable with each other, and give when combined another translation.
A group whose operations are all permutable with each other is called an Abelian group.
permutable, per-mū′ta-bl, adj. that may be changed one for another.
An operation which is permutable with every operation of the group is called a self-conjugate operation.
late 14c., "to change one for another," from French permuter or directly from Latin permutare "to change thoroughly" (see permutation). Mathematical sense from 1878.