Examples of 'cosets' in a sentence
Meaning of "cosets"
Cosets: Refers to subsets of a group that can be obtained by multiplying each group element by a fixed element. In English, it is a noun
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- plural of coset
How to use "cosets" in a sentence
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cosets
G is the disjoint union of its double cosets.
A set of representatives of all the cosets is called a transversal.
Two double cosets HxK and HyK are either disjoint or identical.
And the other two are its cosets.
The set of representatives of the cosets are called fundamental domains.
Products in the free abelian group on the set of double cosets.
There is an equivalent description of double cosets in terms of single cosets.
Note that the cosets generated by a subgroup of a group is a partition of the group.
We can also model the problem with cosets partition.
We use a relation between left cosets and points on certain projective algebraic varieties.
Then we perform an exhaustive search of such vacua on cosets and group manifold.
The book goes on to study cosets and finishes with the first isomorphism theorem.
Since the even integers form a subgroup of the integers, they partition the integers into cosets.
It is also false that different double cosets have the same size.
The cosets of the fourth roots of unity N in the twelfth roots of unity G.
See also
These nine elements and twelve cosets form the Hesse configuration.
Do the cosets of a subgroup always form a representation of the group?
The analog of Lagrange 's theorem for double cosets is false.
It follows that any two left cosets of H in G are either identical or disjoint.
Another way to put this is saying that right and left cosets of N in G coincide,.
There are only two cosets of this subgroup-the even and odd numbers-so it has index 2.
Figure 10, Calculation of the left and right cosets of a subgroup.
Cosets and Lagrange 's theorem.
If H is not normal in G, then its left cosets are different from its right cosets.
Right cosets are defined analogously, Ha { ha, h in H.
The relation table has rows representing the cosets of H { \ displaystyle H }, as in the coset table.
The cosets of Z / nZ are.
In fact, in the case of D4, observe that all such cosets are equal, such that.
Then the set of ( left ) cosets is of size three,.
