Cayley complex

Cayley complex
A 2-dimensional CW complex encoding information about a group and its presentation.

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  • 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 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

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  • Complex number — A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the square root of –1. A complex… …   Wikipedia

  • Complex projective space — The Riemann sphere, the one dimensional complex projective space, i.e. the complex projective line. In mathematics, complex projective space is the projective space with respect to the field of complex numbers. By analogy, whereas the points of a …   Wikipedia

  • Presentation complex — In geometric group theory, a presentation complex is a 2 dimensional cell complex associated to any presentation of a group G . The complex has a single vertex, and one loop at the vertex for each generator of G . There is one 2 cell for each… …   Wikipedia

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  • Mount Cayley — The Mount Cayley volcanic complex in August 13, 2005. Summits left to right are Pyroclastic Peak and Mount Cayley. Elevation 2,377 m (7,799 ft) …   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

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