Induced Representations of Abelian Groups of Finite Rank

• Date: 2003
• Main Authors: Tushev, A. V., Тушев, А. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2003
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3997
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove that any irreducible faithful representation of an almost torsion-free Abelian group G of finite rank over a finitely generated field of characteristic zero is induced from an irreducible representation of a finitely generated subgroup of the group G.