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Research Article Open access CC BY 4.0

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/2017/32966

Abstract

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.

Locally compact abelian group extension divisible group torsion-free group

References (9)

  1. 1 Extensions of locally compact abelian groups. I, II [DOI]
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