Induced modules over group algebras of metabelian groups of finite rank

DOI10.1080/00927879908826798zbMath0943.16010OpenAlexW2115175857MaRDI QIDQ4934109

A. V. Tushev

Publication date: 2 March 2000

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826798

zbMATH Keywords

group algebrassimple modulesinduced modulesFC-centersmetabelian groups of finite rank

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (3)

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 ⋮ On the primitive irreducible representations of finitely generated linear groups of finite rank

Cites Work

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• Soluble products of minimax groups, and nearly surjective derivations
• Group rings of polycyclic groups
• Some properties of groups inherited by normal subgroups of finite index
• On the Finiteness of Certain Soluble Groups
• Ideals in group rings of soluble groups of finite rank
• The Nullstellensatz and Jacobson Properties for Rings of Differential Operators
• Primitive noetherian group rings
• Prime Ideals in Group Rings of Polycyclic Groups
• Spectra of conjugated ideals in group algebras of abelian groups of finite rank and control theorems
• The Nullstellensatz for Certain Group Rings
• On the primitivity of group algebras of certain classes of soluble groups of finite rank
• Finiteness Conditions for Soluble Groups

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