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 · pp. 1–5 · Published 2 Jun 2017
10.9734/BJMCS/2017/32966Abstract
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.
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