Extensions of locally compact abelian, torsion-free groups by compact   torsion abelian groups
  Let $X$ be a compact torsion abelian group. In this paper, we show that an extension of $F_{p}$ by $X$ splits where $F_{p}$ is the p-adic number group and $p$ a prime number. Also, we show that an extension of a torsion-free, non-divisible LCA group by $X$ is not split. 
Hossain Sahleh and Ali Akbar Alijani
math.GR