Linked from

The 20 pages that link to Arthur Cayley, each with the reason it gives.

• Group theoryRelated: His work helped define groups independently of permutations.

• GroupRelated: Cayley helped shift groups from permutations to an abstract axiomatic structure.

• Abstract algebraRelated: His work helped make groups objects studied independently of particular transformations.

• Invariant theoryRelated: Cayley developed symbolic techniques for calculating invariants of forms.

• SemigroupRelated: His transformation-based algebraic viewpoint anticipates semigroup representations.

• Cayley–Hamilton theoremRelated: Cayley published an early statement and verification of the theorem for matrices.

• Cayley's theoremRelated: Cayley gave the theorem its name through his work on abstract groups.

• Exponential generating functionRelated: Cayley counted labeled trees, a classic problem later expressed through exponential generating functions.

• Algebraic structureRelated: Cayley's work helped turn groups from transformations into objects studied through axioms.

• Complex dynamicsRelated: His analysis anticipated the complicated basin boundaries later called Newton fractals.

• James Joseph SylvesterRelated: Cayley and Sylvester developed matrix ideas in overlapping work and sustained correspondence.

• János BolyaiRelated: Cayley’s projective approach later offered another way to formulate hyperbolic geometry.

• Erlangen programRelated: Cayley’s projective treatment of metric geometry influenced Klein’s account of geometric structure.

• Chromatic polynomialRelated: Cayley studied coloring questions that contributed to the polynomial’s early development.

• Cayley's formulaRelated: The formula bears his name and appeared in his work on tree enumeration.

• Kirchhoff's theoremRelated: Cayley’s formula is a celebrated special case of the tree-counting framework.

• Cayley–Bacharach theoremRelated: Cayley’s work helped establish the result now associated with his name.

• Five color theoremRelated: His 1879 publication helped prompt Alfred Kempe's influential, flawed proof attempt.

• Capelli identityRelated: Cayley’s invariant-theoretic setting forms part of the identity’s mathematical background.

• Degen's eight-square identityRelated: His treatment helped establish the algebra whose norm produces Degen's formula.