Cayley's theorem

proper noun

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

Meanings

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

Origin

Named in honour of Arthur Cayley.

Full word history & related roots →
Cite this entry
APA

Cayley's theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Cayley's%20theorem

MLA

“Cayley's theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Cayley's%20theorem. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Cayley's theorem,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Cayley's%20theorem.

Source: Cayley's theorem on Wiktionary, CC BY-SA 4.0.