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 ?
If C is an additive code in a translation distance-regular graph [GAMMA] on X, then we obtain the usual coset partition [DELTA](C) := {C + x | x [member of] X} of X; whenever C is a completely regular code, it is easy to see that [DELTA](C) is a completely regular partition.
Then the neutrosophic codeword x nearest to y is given by x = y - e, where e is the neutosophic vector of the least weight in the neutrosophic coset containing y.
2] space of intertwiners, of the operator [PSI]([GAMMA][sigma][GAMMA]) defined by the following construction: for [sigma] [member of] G, assuming that the disjoint decomposition of the coset [GAMMA][sigma][GAMMA] is [[union].
A coset is a single object, but inside it is a set of elements of a group.
Now we fix n = 85, all the 4-cyclotomic cosets mod 85 and minimal polynomial of [[alpha].
Q: The coset of A whose elements have images in the odd permutations or [S.
Otherwise, the original image can be decomposed into 2 input images by separating into 2 diamonds the pixels belonging to each coset
2]}, then all but the last row of the three columns (Table 1) give the coset decomposition [S.
The coset containing 2 also contains 7, 102, and -3.
9 implies only that [Mathematical Expression Omitted] belongs to the coset [Mathematical Expression Omitted] which has cardinality [l.
The description of the double coset space P'\G/P is nothing but the Bruhat decomposition if G' = G; the Iwasawa decomposition if G' is a maximal compact subgroup K of G where P' automatically equals K.
10) and (11) are first recorded in [47, Ulbrich]; we use the notation for cosets h for both coset spaces Q and Q.