Simplify the following text for a Grade 5 native English-speaking person.
Original: Groups for which the equation a â cents b = b â cents a always holds are called abelian ( in honor of Niels Abel ) . Thus , the integer addition group is abelian , but the symmetry group in the following section is not .
Simplified: If a group does have the property that a â cents b = b â cents a we call it an abelian group .