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Subgroup

From Simple English Wikipedia, the free encyclopedia

In group theory, a branch of mathematics, given a group under a binary operation, a subset of is called a subgroup of if the elements also forms a group under the binary operation.

The situation could arise in which the subset does not comply with the binary operation. In that case, H would not be a subgroup.

For example, the even numbers are a subgroup of the integers, with addition as the binary operation.