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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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## What is the roster method in algebra?

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## How do you multiply matrices?

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## How do you determine how many entries are in a matrix?

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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: