IMCS/Publications/BASM/Issues/BASM n.1 (20), 1996/

Some properties of the group $lG$. (Romanian)

Authors: Taralunga B. I.


Let $G$ be an abelian group and $lG$ be the group equipped with the finest linearly precompact topology. The group $lG$ is a metrizable if and only if factor group $G/t(G)$ is a finit rang, $t(G)$ torsion subgroup of $G$,and every $p$-primary subgroup of $t(G)$ is artinian subgroup. Nondiscrete group $lG$ is not a local linearly pseudocompact, is not a linearly pseudocompact.

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