@ARTICLE{10.21494/ISTE.OP.2026.1468, TITLE={Sur les groupes vectoriels localement compacts}, AUTHOR={Batoul Yousefipour , S. Sajjad Gashti , Hassan Myrnouri, }, JOURNAL={Avancées en Mathématiques Pures et Appliquées}, VOLUME={17}, NUMBER={Numéro 3 (Juin 2026)}, YEAR={2026}, URL={https://openscience.fr/Sur-les-groupes-vectoriels-localement-compacts}, DOI={10.21494/ISTE.OP.2026.1468}, ISSN={1869-6090}, ABSTRACT={This paper presents a necessary and sufficient condition for a topological vector group to be locally compact. We also introduce several sufficient conditions that ensure the local compactness of topological vector groups. Furthermore, we establish a sufficient condition for a topological vector group to be first countable.}}