Induced Representations of Abelian Groups of Finite Rank

• Datum: 2003
• Hauptverfasser: Tushev, A. V., Тушев, А. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2003
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3997
• Назва журналу: 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.