Groups whose irreducible representations have finite degree

DOI10.1017/S0305004100058898zbMath0478.20005MaRDI QIDQ3934586

Bertram Arthur Frederick Wehrfritz

Publication date: 1981

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

polycyclic-by-finite groupsirreducible modulesresidually finite groupfinitely generated nilpotent groupinfinite dimensional irreducible representationprimitivity of group rings

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19) Residual properties and generalizations; residually finite groups (20E26)

Related Items

On the primitive representations of finitely generated metabelian groups of finite rank over a field of non-zero characteristic ⋮ Irreducible representations of locally polycyclic groups over an absolute field ⋮ Linear groups ⋮ ON THE IRREDUCIBLE REPRESENTATIONS OF SOLUBLE GROUPS OF FINITE RANK ⋮ Representations of infinite soluble groups ⋮ Group rings with finite central endomorphism dimension ⋮ Periodic groups whose simple modules have finite central endomorphism dimension ⋮ Group rings with finite endomorphism dimension ⋮ Groups whose irreducible representations have finite degree II

Cites Work

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• Group rings of polycyclic groups
• On the semisimplicity of group rings of linear groups
• On the Finiteness of Certain Soluble Groups
• Nilpotence in Groups of Semi-Linear Maps II: A Normalization Theorem