Characterization of almost maximally almost-periodic groups
| dc.creator | Gabriyelyan, S. S. | |
| dc.date | 2009-03-08 | |
| dc.date.accessioned | 2026-07-07T12:50:22Z | |
| dc.date.available | 2026-07-07T12:50:22Z | |
| dc.description | Let $G$ be an abelian group. We prove that a group $G$ admits a Hausdorff group topology $τ$ such that the von Neumann radical $\mathbf{n}(G, τ)$ of $(G, τ)$ is non-trivial and finite iff $G$ has a non-trivial finite subgroup. If $G$ is a topological group, then $\mathbf{n} (\mathbf{n} (G)) \not= \mathbf{n} (G)$ if and only if $\mathbf{n} (G)$ is not dually embedded. In particular, $\mathbf{n} (\mathbf{n} (\mathbb{Z},τ)) = \mathbf{n} (\mathbb{Z},τ)$ for any Hausdorff group topology $τ$ on $\mathbb{Z}$. | |
| dc.identifier | https://arxiv.org/abs/0903.1425 | |
| dc.identifier | http://arxiv.org/abs/0903.1425 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222663 | |
| dc.subject | General Topology | |
| dc.subject | Group Theory | |
| dc.subject | 22-xx; | |
| dc.title | Characterization of almost maximally almost-periodic groups | |
| dc.type | text |