What is Subgroup?
{{Groups}}In [[group theory]], a branch of [[mathematics]], given a group <math>G</math> under a [[binary operation]], a [[subset]] <math>H</math> of <math>G</math> is called a '''subgroup''' of ''<math>G</math>'' if the elements ''<math>H</math>'' also forms a group under the binary operation. The situation could arise in which the subset <math>H</math> does not comply with the binary operation. In that case, H would not be a subgroup. For example, the [[even number]]s are a subgroup of the [[integer]]s, with [[addition]] as the binary operation. [[Category:Group theory]] {{math-stub}}