# coset

(redirected from Cosets)
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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 ?
For any coset [mathematical expression not reproducible], and probability zero elsewhere.
In particular there are n + 1 double cosets of the parabolic Weyl group [S.
the partition into cosets of some additive completely regular code), since it is known that the quotient graph obtained from any such partition is distance-regular.
The most fruitful way to construct finite generalized quadrangles is through a now standard group coset geometry construction, in which a group E provided with certain sets of subgroups [epsilon] = {[E.
The North Reef Member contains thin sheet sandstones and channel bodies, red mudrocks with scattered green/ grey mottles and carbonate nodules, and thick channel bodies filled with stacked cosets of trough cross-beds and rare internal erosion surfaces.
The coset leader of a given coset is defined to be the vector with least weight in that coset.
This proves that this coefficients are absolutely summable on cosets of [GAMMA] = [PSL.
One of the best known applications of group table is given a subgroup H [less than or equal to] G, to organize the table by left cosets of the subgroup and to color the cosets as the Group Calculator does.
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.
If H is normal subgroup of G, then the set of cosets {gH}, denoted by G\H, forms a group under the induced operation on the coset called a factor group.
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.

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