Question

define abelian group.​

Answer 1

Answer:

In mathematics, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written. That is, the group operation is commutative.

Explanation:

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Answer 2

Answer:

An Abelian group is a group for which the elements commute (i.e., for all elements and. ). Abelian groups therefore correspond to groups with symmetric multiplication tables. All cyclic groups are Abelian, but an Abelian group is not necessarily cyclic. All subgroups of an Abelian group are normal.

Explanation:

mathematics, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written. That is, the group operation is commutative.