Extensions of locally compact abelian, torsion-free groups by compact torsion abelian groups

Hossain Sahleh; Ali Akbar Alijani

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arXiv · 1401.7083

Extensions of locally compact abelian, torsion-free groups by compact torsion abelian groups

Hossain Sahleh·Ali Akbar Alijani

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Abstract

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.

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BibTeX RIS

Hossain Sahleh, Ali Akbar Alijani. 2015-03-08. Extensions of locally compact abelian, torsion-free groups by compact torsion abelian groups. https://arxiv.org/abs/1401.7083

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