To extend JAS with the commons-math methods the easiest way is to extend the edu.jas.structure.AbelianGroupElem like this:
public interface AbelianGroupElem<C extends AbelianGroupElem<C>> extends Element<C>, FieldElement<C> and add the methods: add() and getField() in all derived classes. But there's already an add() method in the AbelianGroupElem interface which is called sum(). This is probably to avoid the method name add() which is often used in the Java Collection framework. (see https://issues.apache.org/jira/browse/MATH-285)