Extensions of Locally Compact Abelian, Torsion-Free Groups by Compact Torsion Abelian Groups
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 22, Issue 4
Abstract
Let X be a compact torsion abelian group. In this paper, we show that an extension of Fp by X splits where Fp 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.
Authors and Affiliations
Hossein Sahleh, Ali Akbar Alijani
Keywords
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- EP ID EP322010
- DOI 10.9734/BJMCS/2017/32966
- Views 82
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