On properties of weakly locally compact commutative groups
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Onise Surmanidze
Abstract
The paper presents an algebraic characterization of a twist-free weakly locally compact group whose factor group is linearly compact with respect to the zero component. It is shown that the local direct product of weakly locally compact groups is weakly locally compact. Additionally, a necessary and sufficient condition is established for determining when a weakly locally compact group G, containing a given subgroup H, can be decomposed into a local direct product of subgroups of rank one.
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