On primitive representations of soluble groups of finite rank

DOI10.1070/SM2000v191n11ABEH000524zbMath1023.20002OpenAlexW2080445245MaRDI QIDQ2736062

A. V. Tushev

Publication date: 12 March 2002

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2000v191n11abeh000524

zbMATH Keywords

finitely generated subgroupsirreducible representationsirreducible modulesinfinite soluble groupsgroups of finite rank

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Ordinary representations and characters (20C15) Solvable groups, supersolvable groups (20F16) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nilpotent groups (20F18) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (4)

On the primitive representations of finitely generated metabelian groups of finite rank over a field of non-zero characteristic ⋮ On the structure of groups admitting faithful modules with certain conditions of primitivity ⋮ Primitive irreducible representations of finitely generated nilpotent groups ⋮ On the primitive irreducible representations of finitely generated linear groups of finite rank

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