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

Sahleh, Hossein and Alijani, Ali (2017) Extensions of Locally Compact Abelian, Torsion-Free Groups by Compact Torsion Abelian Groups. British Journal of Mathematics & Computer Science, 22 (4). pp. 1-5. ISSN 22310851

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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.

Item Type: Article
Subjects: Afro Asian Archive > Computer Science
Depositing User: Unnamed user with email support@afroasianarchive.com
Date Deposited: 03 Jun 2023 07:30
Last Modified: 13 Sep 2024 07:52
URI: http://info.stmdigitallibrary.com/id/eprint/710

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