TY - Type of reference TI - Sur les groupes vectoriels localement compacts AU - Batoul Yousefipour AU - S. Sajjad Gashti AU - Hassan Myrnouri AB - 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. DO - 10.21494/ISTE.OP.2026.1468 JF - Avancées en Mathématiques Pures et Appliquées KW - Topological group, Topological vector group, Locally compact, Absorbing set, Topological vector space, Topological group, Topological vector group, Locally compact, Absorbing set, Topological vector space, L1 - https://openscience.fr/IMG/pdf/iste_apam26v17n3_1.pdf LA - fr PB - ISTE OpenScience DA - 2026/07/1er SN - 1869-6090 TT - On the locally compact vector groups UR - https://openscience.fr/Sur-les-groupes-vectoriels-localement-compacts IS - Numéro 3 (Juin 2026) VL - 17 ER -