right coset
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Coset — In mathematics, if G is a group, and H is a subgroup of G, and g is an element of G, then gH = {gh : h an element of H } is a left coset of H in G, and Hg = {hg : h an element of H } is a right coset of H in G. Only when H is normal… … Wikipedia
coset — noun Date: 1910 a subset of a mathematical group that consists of all the products obtained by multiplying either on the right or the left a fixed element of the group by each of the elements of a given subgroup … New Collegiate Dictionary
coset — /koh set/, n. Math. a subset of a group, formed by the consistent operation of a given element of the group on the left or right of all the elements of a subgroup of the group. [1925 30; CO + SET] * * * … Universalium
coset — n. Math. a set composed of all the products obtained by multiplying on the right or on the left each element of a subgroup in turn by one particular element of the group containing the subgroup. Etymology: CO + SET(2) … Useful english dictionary
Double coset — In mathematics, an (H,K) double coset in G, where G is a group and H and K are subgroups of G, is an equivalence class for the equivalence relation defined on G by x y if there are h in H and k in K with hxk = y. Then each double coset is of form … Wikipedia
Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines … Wikipedia
Optimal solutions for Rubik's Cube — Computer Graphics of a scrambled Rubik s cube There are many algorithms to solve scrambled Rubik s Cubes. The maximum number of face turns needed to solve any instance of the Rubik s cube is 20.[1] This number is also known as the diameter of the … Wikipedia
Elementary group theory — In mathematics, a group is defined as a set G and a binary operation on G , called product and denoted by infix * . Product obeys the following rules (also called axioms). Let a , b , and c be arbitrary elements of G . Then: *A1, Closure. a * b… … Wikipedia
Equivalence relation — In mathematics, an equivalence relation is a binary relation between two elements of a set which groups them together as being equivalent in some way. Let a , b , and c be arbitrary elements of some set X . Then a b or a ≡ b denotes that a is… … Wikipedia
Glossary of group theory — A group ( G , •) is a set G closed under a binary operation • satisfying the following 3 axioms:* Associativity : For all a , b and c in G , ( a • b ) • c = a • ( b • c ). * Identity element : There exists an e ∈ G such that for all a in G , e •… … Wikipedia
