Cayley theory

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• Cayley — may refer to:*Arthur Cayley (1821–1895), British mathematician *Charles Bagot Cayley (1823–1883), British linguist and friend of Christina Rossetti *George Cayley (1773–1857), English naturalist, physical scientist, engineer, inventor, politician …   Wikipedia

• Cayley, Arthur — ▪ British mathematician born August 16, 1821, Richmond, Surrey, England died January 26, 1895, Cambridge, Cambridgeshire  English mathematician and leader of the British school of pure mathematics that emerged in the 19th century. The interested… …   Universalium

• Cayley graph — In mathematics, the Cayley graph, also known as the Cayley colour graph, is the graph that encodes the structure of a discrete group. Its definition is suggested by Cayley s theorem (named after Arthur Cayley) and uses a particular, usually… …   Wikipedia

• Cayley's theorem — In group theory, Cayley s theorem, named in honor of Arthur Cayley, states that every group G is isomorphic to a subgroup of the symmetric group on G . This can be understood as an example of the group action of G on the elements of G .A… …   Wikipedia

• Cayley table — A Cayley table, after the 19th century British mathematician Arthur Cayley, describes the structure of a finite group by arranging all the possible products of all the group s elements in a square table reminiscent of an addition or… …   Wikipedia

• Cayley , Arthur — (1821–1895) British mathematician Born in Richmond, Cayley studied mathematics at Cambridge University, but before becoming a professional mathematician spent 14 years working as a barrister. He was forced to do this since he was unwilling to… …   Scientists

• Cayley's Ω process — In mathematics, Cayley s Ω process, introduced by Arthur Cayley (1846), is a relatively invariant differential operator on the general linear group, that is used to construct invariants of a group action. As a partial differential operator… …   Wikipedia

• Cayley transform — In mathematics, the Cayley transform, named after Arthur Cayley, has a cluster of related meanings. As originally described by Harvtxt|Cayley|1846, the Cayley transform is a mapping between skew symmetric matrices and special orthogonal matrices …   Wikipedia

• Cayley's formula — 2^{2 2}=1 tree with 2 vertices,3^{3 2}=3 trees with 3 vertices and 4^{4 2}=16trees with 4 vertices.In mathematics, Cayley s formula is a result in graph theory named after Arthur Cayley. It states that if n is an integer bigger than 1, the number …   Wikipedia

• Arthur Cayley — Infobox Scientist name = Arthur Cayley |242px image width = 242px caption = Portrait in London by Barraud Jerrard birth date = birth date|1821|8|16|mf=y birth place = Richmond, Surrey, UK residence = England nationality = British death date =… …   Wikipedia

• Graph theory — In mathematics and computer science, graph theory is the study of graphs : mathematical structures used to model pairwise relations between objects from a certain collection. A graph in this context refers to a collection of vertices or nodes and …   Wikipedia