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Induced Representations of Abelian Groups of Finite Rank

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Ukrainian Mathematical Journal Aims and scope

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.

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REFERENCES

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  2. A. V. Tushev, “Noether modules over Abelian groups of finite free rank,” Ukr. Mat. Zh., 43, No. 7, 8, 1042-1048 (1991).

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Authors and Affiliations

  1. Dnepropetrovsk National University, Dnepropetrovsk

    A. V. Tushev

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  1. A. V. Tushev
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Tushev, A.V. Induced Representations of Abelian Groups of Finite Rank. Ukrainian Mathematical Journal 55, 1510–1513 (2003). https://doi.org/10.1023/B:UKMA.0000018011.29968.7e

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  • DOI: https://doi.org/10.1023/B:UKMA.0000018011.29968.7e

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