ABSTRACT
We will consider the splitting of the short exact sequence (6.1) under different hypotheses on X and the groups H ∈ P(G).
Closely related to the refinement property in rtffr groups is the Baer splitting property. The group G has the Baer splitting property if for each cardinal c, each surjection pi : G(c) → G is split. Free groups have the Baer splitting property and we will show that if End(G) is commutative then G has the Baer splitting property. Baer’s Lemma 6.1.1 states that G has the Baer splitting property if IG 6= G for each right ideal I ⊂ End(G). The purpose of this chapter is to study the Baer splitting property in detail.
