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 ?
These channel bodies are largely filled with stacked cosets of trough cross-beds that are bounded by third- and fourth-order surfaces (Fig.
Among the topics are greatest common divisors, integer multiples and exponents, quotients of polynomial rings, divisibility and factorization in integral domains, subgroups of cyclic groups, cosets and Lagrange's theorem, the fundamental theorem of finite abelian groups, and check digits.
i] are all representatives from the distinct cosets of H [less than or equal to] [S.
V] can be written as a direct sum of of its right cosets.
The claim follows from the fact that the rows of such an array are nothing but cosets of the subgroup X in the group V and any two cosets are either disjoint or identically the same.
He told me that I was wanted by one of the Australian backgammon GROUPies who were decked out in their SIXY COSETS and BOAS.
consists of cosets {t = t + [XI] : t [member of] [R.
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.
i] of G to the difference set equation [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], where [Delta] is any putative difference set and n its order, to initiate a "sieve search" that restricts the intersection of [Delta] among the cosets of normal subgroups of G.
Grandsire Doubles has a plain course of three cosets (of 10 changes each) for a total of 30 changes.
n-1]> consisting of affine Grassmannian elements-- representatives of minimal length in cosets of [[?
Some of them are mere calculations for practice using concepts like operations on sets, permutations, cosets, or field extensions.