# Cayley's theorem

> English word · Proper noun

## Definitions
1. The theorem stating that every group G is isomorphic to a subgroup of the symmetric group acting on G.

## Etymology
Named in honour of Arthur Cayley.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/cayley-s-theorem