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Cayley theorem

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  • Cayley–Hamilton theorem — In linear algebra, the Cayley–Hamilton theorem (named after the mathematicians Arthur Cayley and William Hamilton) states that every square matrix over the real or complex field satisfies its own characteristic equation.More precisely; if A is… …   Wikipedia

  • Cayley-Bacharach theorem — In mathematics, the Cayley Bacharach theorem is a statement in projective geometry which contains as a special case Pascal s theorem. The Cayley Bacharach theorem pertains to the family of cubic curves (plane curves of degree three) passing… …   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 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-Hamilton — Théorème de Cayley Hamilton Pour les articles homonymes, voir Hamilton. En algèbre linéaire, le théorème de Cayley Hamilton (qui porte les noms des mathématiciens Arthur Cayley et William Hamilton) affirme que tout endomorphisme d un espace… …   Wikipédia en Français

  • 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

  • Cayley plane — In mathematics, the Cayley plane (or octonionic projective plane) OP2 is a projective plane over the octonions.[1] It was discovered in 1933 by Ruth Moufang, and is named after Arthur Cayley (for his 1845 paper describing the octonions). As a… …   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

  • Kirchhoff's theorem — In the mathematical field of graph theory Kirchhoff s theorem or Kirchhoff s matrix tree theorem named after Gustav Kirchhoff is a theorem about the number of spanning trees in a graph. It is a generalization of Cayley s formula which provides… …   Wikipedia

  • Stallings theorem about ends of groups — In the mathematical subject of group theory, the Stallings theorem about ends of groups states that a finitely generated group G has more than one end if and only if the group G admits a nontrivial decomposition as an amalgamated free product or… …   Wikipedia

  • Four color theorem — Example of a four colored map A four colori …   Wikipedia

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