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.
References (9)
- 1 Extensions of locally compact abelian groups. I, II [DOI]
- 2 Extensions of locally compact abelian groups. I [DOI]
- 3 Homological Study of Purity in Locally Compact Groups [DOI]
- 4 Splitting locally compact abelian groups. [DOI]
- 5 Splitting of extensions in the category of locally compact abelian groups
- 6 On pure subgroups of 𝐿𝐶𝐴 groups [DOI]
- 7 The Closed Maximal Torsion Subgroup of a Locally Compact Abelian Group [DOI]
- 8 On t-pure and almost pure exact sequences of LCA groups [DOI]
- 9 Abstract Harmonic Analysis. [DOI]
Cited by 0
No indexed citations yet.
Related research
- The Universal Coefficient Theorem for Homology and Cohomology: An Enigma of Computations — shares topic coverage
- A Review on Levering Technology for Sustainable Development in Agricultural Extension Program — shares topic coverage
- Strategies for Improving Agricultural Extension Service Delivery in Afikpo North Local Government Area, Ebonyi State — shares topic coverage
- Assessment of Mass Media Dependency for Climate Change Information Sourcing among Agricultural and Fishery Extension Service Field Agents in Akwa Ibom State — shares topic coverage
- Awareness Status of Plant-parasitic Nematodes Occurrence and Damage among Farmers in Benue State, Nigeria — shares topic coverage
Article metrics
Real usage data collected on this platform.
6
Page views
0
PDF downloads
0
Outbound clicks
0
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.