2017
Том 69
№ 9

All Issues

Induced Representations of Abelian Groups of Finite Rank

Tushev A. V.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 9, pp 1510-1513.

Citation Example: Tushev A. V. Induced Representations of Abelian Groups of Finite Rank // Ukr. Mat. Zh. - 2003. - 55, № 9. - pp. 1249-1253.

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