Open AccessOn 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 -
karpatsʹkì matematičnì publìkacìï
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 $G$.