Definition:Permutation/Also known as

Permutation: Also known as

Another word for permutation that can sometimes be found is arrangement.

When the domain $S$ is an infinite set, a permutation $f: S \to S$ is often termed a transformation, but that term suffers from being used for various considerably vaguer concepts.

Sources

• 1967: George McCarty: Topology: An Introduction with Application to Topological Groups ... (previous) ... (next): Chapter $\text{II}$: Groups: Problem $\text{EE}$
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): arrangement
• 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): arrangement