Examples of 'coxeter groups' in a sentence
Meaning of "coxeter groups"
coxeter groups - Coxeter groups are a mathematical concept in the field of geometry and algebra. They were introduced by the mathematician H.S.M. Coxeter and are named after him. Coxeter groups have applications in various areas such as crystallography and group theory
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coxeter groups
Coxeter groups find applications in many areas of mathematics.
There are many infinite hyperbolic Coxeter groups.
Coxeter groups in the plane with equivalent diagrams.
Coxeter graphs of the finite Coxeter groups.
Presentation of Coxeter groups by generators and relations.
An important example is in the Coxeter groups.
Symmetric groups are Coxeter groups and reflection groups.
All symmetry groups of regular polytopes are finite Coxeter groups.
Two affine Coxeter groups can be multiplied together.
Combinatorial approach to clusters using sortable elements of Coxeter groups.
Some properties of the finite irreducible Coxeter groups are given in the following table.
The finite groups generated in this way are examples of Coxeter groups.
The affine Coxeter groups form a second important series of Coxeter groups.
We give a characterization of CPC elements in terms of cylindrical closures in any Coxeter groups.
Hyperbolic Coxeter groups.
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Thus the disjoint union of Coxeter graphs yields a direct product of Coxeter groups.
Affine Coxeter groups.
They can also be defined independently as deformations of group algebras of finite Coxeter groups.
Finite Coxeter groups.
This is the only known positive interpretation of these coefficients for arbitrary Coxeter groups.
Automorphisms of Coxeter groups.
Coxeter introduces and uses the groups generated by reflections that became known as Coxeter groups.
Coxeter groups with less than 3 generators have degenerate spherical triangle domains, as lunes or a hemisphere.
Reflection groups also include Weyl groups and crystallographic Coxeter groups.
A list of the affine Coxeter groups follows,.
Families of convex uniform Euclidean tessellations are defined by the affine Coxeter groups.
Paracompact Coxeter groups of rank 3 exist as limits to the compact ones.
Coxeter diagrams for the Affine Coxeter groups.
Some properties of the finite Coxeter groups are given in the following table,.
However, there are multiple non-equivalent definitions for hyperbolic Coxeter groups.
Each diagram represents a Coxeter group, and Coxeter groups are classified by their associated diagrams.
In a third part, a new presentation is obtained for the alternating subgroups of all Coxeter groups.
A particularly interesting class of Coxeter groups are right-angled Coxeter groups.
Affine Coxeter groups = = The affine Coxeter groups form a second important series of Coxeter groups.
Abstract, This thesis is a contribution to the combinatorical study of Coxeter groups and Artin-Tits groups.
Coxeter groups in 3-space with diagrams.
Danny Calegari calls these convex cocompact Coxeter groups in n-dimensional hyperbolic space.
The indefinite type is sometimes further subdivided, e.g. into hyperbolic and other Coxeter groups.
There are also 23 paracompact Coxeter groups of rank 4.
The exceptional regular polytopes in dimensions two, three, and four, correspond to other Coxeter groups.
There are a total of 58 paracompact hyperbolic Coxeter groups from rank 4 through 10.
We thus recover Radcliffe 's result on rigidity of right-angled Coxeter groups.
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Examples of using Coxeter
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Coxeter and they worked together on various problems
There are many infinite hyperbolic Coxeter groups
Coxeter groups find applications in many areas of mathematics
Examples of using Groups
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Armed groups also stand accused of torture
The most significant groups are the following
The groups meet three times a year
