# coset

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coset
/ˈkoʊsɛt/ (say 'kohset)

noun
(in mathematics) a set which with another set produces a specified larger set.

Australian English dictionary. 2014.

### Look at other dictionaries:

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

• 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

• coset — escot …   Anagrams dictionary

• 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 — co·set …   English syllables

• 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 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