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

A. V. Tushev

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 $G$.

Keywords


primitive representations, metabelian groups, rank of groups

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