Hereditary Coreflective Subcategories in Certain Categories of Abelian Semitopological Groups

Let A be an epireflective subcategory of the category of all semitopological groups that consists only of abelian groups. We describe maximal hereditary coreflective subcategories of A that are not bicoreflective in A in the case that the A-reflection of the discrete group of integers is a finite cyclic group, the group of integers with a topology that is not T0, or the group of integers with the topology generated by its subgroups of the form pn, where n is an element of N, p is an element of P and P is a given set of prime numbers.