Group Algebras Whose Simple Modules are Injective

DOI10.2307/1996804zbMath0287.16004OpenAlexW4249070847MaRDI QIDQ4773830

Daniel R. Farkas, Robert L. Snider

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/1996804

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (10)

Unnamed Item ⋮ The principal representations of reductive algebraic groups with Frobenius maps ⋮ Sur l'enveloppe injective des anneaux de groupes réguliers ⋮ A class of modules over a locally finite group III ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Advances in group rings ⋮ Injective modules for group algebras of locally finite groups ⋮ Infinite groups whose group algebras satisfy the converse of Schur’s lemma ⋮ Representations of infinite soluble groups ⋮ Certain complex representations of \(S L_2( \bar{\mathbb{F}}_q)\)

Cites Work

• Unnamed Item
• On weak dimension of algebras
• Über unitäre Darstellungen abzählbarer, diskreter Gruppen
• Group rings satisfying a polynomial identity. II
• On rings whose simple modules are injective
• Primitive group rings
• On the Representation of a Group of Order g in the Field of the g-Th Roots of Unity

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