Hossein Sahleh

Extensions of Locally Compact Abelian, Torsion-Free Groups by Compact Torsion Abelian Groups

Hossein Sahleh & Ali Akbar Alijani · Journal of Advances in Mathematics and Computer Science · 2017

Let X be a compact torsion abelian group. In this paper, we show that an extension of Fp by X splits where Fpis 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.