On the primitive representations of finitely generated metabelian groups of finite rank over a field of non-zero characteristic

Authors

  • A.V. Tushev Oles Honchar Dnipropetrovsk National University, 72 Gagarin avenue, 49010, Dnipropetrovsk, Ukraine
https://doi.org/10.15330/cmp.6.2.389-393

Keywords:

primitive representations, metabelian groups, rank of groups
Published online: 2014-12-28

Abstract

We consider some conditions for imprimitivity of irreducible representations of a metebelian group $G$ of finite rank over a field $k$. We shoved that in the case where $char\; k = p > 0$ these conditions strongly depend on existence of infinite $p$-sections in $G$.

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How to Cite
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Tushev, A. On the Primitive Representations of Finitely Generated Metabelian Groups of Finite Rank over a Field of Non-Zero Characteristic. Carpathian Math. Publ. 2014, 6, 389-393.