coset of a subgroup

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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

• Subgroup — This article is about the mathematical concept For the galaxy related concept, see Galaxy subgroup. Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum …   Wikipedia

• Subgroup growth — Im mathematics, subgroup growth is a branch of group theory, dealing with quantitative questions about subgroups of a given group. [citebook|title=Subgroup Growth|author=Alexander Lubotzky, Dan Segal|year=2003|publisher=Birkhäuser|id=ISBN… …   Wikipedia

• Coset enumeration — In mathematics, coset enumeration is the problem of counting the cosets of a subgroup H of a group G given in terms of a presentation. As a by product, one obtains a permutation representation for G on the cosets of H. If H has a known finite… …   Wikipedia

• coset — noun Of a subgroup, a copy of that subgroup multiplied by some element from the parent group …   Wiktionary

• coset — [ kəʊsɛt] noun Mathematics a set composed of all the products obtained by multiplying each element of a subgroup in turn by one particular element of the group containing the subgroup …   English new terms dictionary

• 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

• 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. subgroup within a larger set that is received by doubling a given member of the set by all of the members of a given subset (Mathematics) …   English contemporary dictionary

• left coset — noun A left coset of a subgroup is a copy of that subgroup, multiplied on the left by some element from the parent group …   Wiktionary