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coset
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The answer COSET has 19 possible clue(s) in existing crosswords.
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The word COSET is VALID in some board games. Check COSET in word games in Scrabble, Words With Friends, see scores, anagrams etc.
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Definitions of coset in various dictionaries:
noun - a mathematical subset
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 the left coset of H in G ...
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| Possible Dictionary Clues |
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| Of a subgroup, a copy of that subgroup multiplied by some element from the parent group. |
| 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. |
| 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. |
| Coset description |
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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 the left coset of H in G with respect to g, and * Hg = {hg : h an element of H} is the right coset of H in G with respect to g.Only when H is normal will the set of right cosets and the set of left cosets of H coincide, which is one definition of normality of a subgroup. Although derived from a subgroup, cosets are not usually themselves subgroups of G, only subsets. * A coset is a left or right coset of some subgroup in G. Since Hg = g(g1Hg), the right coset Hg (of H with respect to g) and the left coset g(g1Hg) (of the conjugate subgroup g1Hg) are the same. Hence it is not meaningful to speak of a coset as being left or right unless one first specifies the underlying subgroup. In other words: a right coset of one subgroup equals a left coset of a different (conjugate) subgroup. If the left cosets and right cosets are the same, then H is a normal subgroup and the c |