Word.ws English Dictionary

Cayley's theorem

Cayley's theorem proper noun: the theorem stating that every group G is isomorphic to a subgroup of the symmetric group acting on G.

Proper noun

Cayley's theorem

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

Origin of Cayley's theorem

Named in honour of Arthur Cayley.

Questions about Cayley's theorem

What does Cayley's theorem mean?
Cayley's theorem means the theorem stating that every group G is isomorphic to a subgroup of the symmetric group acting on G.
What part of speech is Cayley's theorem?
Cayley's theorem is a proper noun.

Words near Cayley's theorem in the dictionary

  1. Cayley table
  2. Cayley tables
  3. Cayley tree
  4. Cayley trees
  5. Cayley's formula
  6. Cayley's theorem
  7. Cayley-Dickson construction
  8. Cayleyan
  9. Cayleyans
  10. Cayleys
  11. Caylor

Source and license

Adapted from Wiktionary: Cayley's theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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