Examples of 'quotient group' in a sentence
Meaning of "quotient group"
Quotient group: In mathematics, a quotient group, also known as a factor group, is a group obtained by partitioning a group by an equivalence relation and defining a group structure on the set of equivalence classes
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- A group obtained from a larger group by aggregating elements via an equivalence relation that preserves group structure.
How to use "quotient group" in a sentence
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quotient group
See quotient group and isomorphism theorem.
Compare coset and quotient group.
Every quotient group of a divisible group is itself divisible.
An important example is a quotient group of a group.
The finite quotient group is precisely the automorphism group.
Then one can create the quotient group.
Every subgroup and quotient group of a locally cyclic group is locally cyclic.
The nth cohomology group of X is then the quotient group.
The quotient group of GI ( V ) modulo the matrices which are scalar multiples of the identity.
In that case, is isomorphic to the quotient group.
If the quotient group is torsion-free, the subgroup is pure.
As a result, it gives a corresponding automorphism for every quotient group.
The quotient group is the same as above, of type Z3.
Given any normal subgroup N, the quotient group is defined by.
The quotient group Dicn / A is a cyclic group of order 2.
See also
It has a left adjoint called abelianization which assigns to every group G the quotient group Gab = G /.
Quotient group Quotient module Quotient set Quotient space ( topology ).
Then, a factor of automorphy for formula 13 corresponds to a line bundle on the quotient group formula 16.
The quotient group of E ( n ) by T is isomorphic to the orthogonal group O ( n ),.
Thus, it makes sense to speak of the quotient group G / ( ker f ).
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Examples of using Group
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No group of people is more or less deserving of protection
Donor support working group meetings were held
Examples of using Quotient
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Product and quotient totals obtained with
These are going to result in the exact same quotient
My customer quotient just got multiplied by two
