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

A. V. Tushev | Zendy

Open Access

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

Author(s) -

A. V. Tushev

Publication year - 2014

Publication title -

carpathian mathematical publications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.63

H-Index - 4

eISSN - 2313-0210

pISSN - 2075-9827

DOI - 10.15330/cmp.6.2.389-393

Subject(s) - mathematics , rank (graph theory) , zero (linguistics) , field (mathematics) , finite field , pure mathematics , finitely generated abelian group , char , group (periodic table) , combinatorics , chemistry , philosophy , linguistics , organic chemistry , pyrolysis

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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