Modular representations of profinite groups.

DOI10.1016/j.jpaa.2010.06.022zbMath1238.20045arXiv1011.2899OpenAlexW1968714293MaRDI QIDQ626717

John William MacQuarrie

Publication date: 18 February 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2899

zbMATH Keywords

indecomposable modulesmodular representationsprofinite groupssourcesrelatively projective modulescompleted group algebrasGreen indecomposability theoremprofinite modulesvirtually pro-\(p\) groups

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Modular representations and characters (20C20) Limits, profinite groups (20E18)

Related Items (6)

Blocks of profinite groups with cyclic defect group ⋮ Brauer theory for profinite groups. ⋮ Counting irreducible modules for profinite groups ⋮ Green correspondence for virtually pro-\(p\) groups. ⋮ Infinitely generated pseudocompact modules for finite groups and Weiss' theorem ⋮ Block theory and Brauer's first main theorem for profinite groups

Cites Work

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• On the indecomposable representations of a finite group
• A variant of a theorem of J. A. Green
• Sur l'induction des modules indécomposables et la projectivité rélative
• Sur un théorème de Green
• Cohomology of modules in the principal block of a finite group
• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
• Purity and algebraic compactness for modules
• Double Coset Formulas for Profinite Groups
• On the construction of permutation complexes for profinite groups

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