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# What is a commutator subgroup?

A commutator subgroup is the subgroup of a G group supported by the commutators of the elements. It is the smallest subgroup of G, and it can range from a certain subgroup to the whole group.

Continue ReadingThe commutator subgroup, also known as a derived subgroup, is a concept found in abstract algebra. The small size of the commutator subgroup makes it an important part of the abelian group, otherwise known as the commutative group. For example, the group G/N is only abelian if N includes the commutator subgroup. The commutator subgroup also measures the abelian nature of a group. A large commutator subgroup means the group is less abelian. Not every element in a commutator subgroup is considered a commutator.

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## How do you find the determinant of a 2x2 matrix?

A: To find the determinant of a 2 by 2 matrix, first multiply the diagonal elements and the off-diagonal elements together. The diagonal elements of a 2 by 2 ... Full Answer >Filed Under: -
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## What is a relation in math?

A: In math, a relation describes how elements from one set, A, are related to elements of a second set, B, in terms of ordered pairs (x,y). For example, in a ... Full Answer >Filed Under: -
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## When do you use the union symbol in math?

A: The union symbol in math, which looks like a capital U, is used when it is necessary to denote the collection of all the elements of two or more sets toget... Full Answer >Filed Under: -
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## How do you multiply matrices?

A: To multiply matrices, or arrays of numbers, multiply the like elements in each matrix. Before they can be multiplied, the two matrices have to have the sam... Full Answer >Filed Under: