coset


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coset

[′kō‚set]
(mathematics)
For a subgroup of a group, a set consisting of all elements of the form xh or of all elements of the form hx, where h is an element of the subgroup and x is a fixed element of the group.
References in periodicals archive ?
Abstract In this paper, we use 4-cyclotomic cosets of modulo n and generator polynomials to describe quaternary simple-root cyclic codes of length n = 85.
Furthermore, in order to resolve the scaling problems of Wyler's expression raised by Robertson, Gilmore showed why it is essential to use dimensionless volumes by setting the throat sizes of the Anti de Sitter hyperboloids to r = 1, because this is the only choice for r where all elements in the bounded domains are also coset representatives, and therefore, amount to honest group operations.
5] this plain course coset form is R + (354) R + (354)[.
Numerous hypergroups, well known in the literature, which form wide classes as join spaces, weak cogroups, double cosets spaces, polygroups and canonical hypergroups including usual groups and also some geometrically motivated non-commutative hyperstructures--belong to transposition hypergroups.
Given a coset H + a, the element a can be chosen as a representative of the coset.
Furthermore, in order to resolve the scaling problems of Wyler's expression, Gilmore showed why it is essential to use dimensionless volumes by setting the throat sizes of the Anti de Sitter hyperboloids to r = 1, because this is the only choice for r where all elements in the bounded domains are also coset representatives, and therefore, amount to honest group operations.
omega]], [omega] [member of] T, are invertible and if the coset {[A.
Fourth Place, a $25,000 scholarship goes to Alexander `Sasha' Schwartz, 17, of Radnor High School in Radnor, PA, for his mathematics project, "On Coset Partitions of Abelian Groups.
Jackson, Maps in locally orientable surfaces, the double coset algebra, and zonal polynomials, Canad.
n] of affine Grassmannian elements is the set of minimal length coset representatives of [[?
J] denote the set of minimal length left coset representatives, and [sup.
By a slight abuse of notation, we will refer to the set of minimal length left (right) coset representatives as [[?