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 ?
G [less than or equal to] Sym([OMEGA]), is specified by a pair consisting of generating sets for G and K, and an element g [member of] G is specified by a coset representative g [member of] G such that g = Kg.
c]) for a constant c > 0 (specified by a polynomial-time procedure to test, for given g [member of] G, whether g [member of] H), find generators for H and a complete set of coset representatives for H in G.
Let WJ be the maximal parabolic subgroup of W stabilizing A, and let WJ be the set of minimum-length coset representatives for the parabolic quotient W/[W.
We define the ish statistic in terms of minimal coset representatives.
The set of all minimal length coset representatives is denoted
We associate an abacus to each minimal length coset representative w [member of] [[?
By a slight abuse of notation, we will refer to the set of minimal length left (right) coset representatives as [[?
af] is the set of minimum-length coset representatives in [W.
k] denote the set of minimal-length coset representatives of W/[W.
a set of stable and recurrent configurations that form a set of coset representatives for the critical group.
This allows us to use tools from Coxeter groups, for example the Bruhat order, parabolic subgroups, and minimal coset representatives.
J] in terms of maximal coset representatives v, w [member of] [W.