Profinite duality groups. I

DOI10.1016/0022-4049(80)90042-0zbMath0412.20025OpenAlexW4213024944MaRDI QIDQ1260179

Andrew Pletch

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0022-4049(80)90042-0

zbMATH Keywords

cohomology of profinite groupscap-productsdiscrete duality groupshomological dualityCohen-Macaulay groups

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Other groups related to topology or analysis (20F38) Limits, profinite groups (20E18)

Related Items

Homological finiteness conditions for pro-pgroups, Relative cohomology theory for profinite groups, Abelian duality and propagation of resonance, Profinite duality groups. II, Right‐angled Artin pro‐p$p$ groups, A canonical torsion theory for pro-\(p\) Iwahori-Hecke modules, Centre-by-metabelian pro-p groups of type FP_m, The cohomology of pro-\(p\)-groups with group ring coefficients and virtual Poincaré duality., On the Fundamental Group of a Smooth Arithmetic Surface, On extension categories and Schur multiplicators of profinite groups

Cites Work

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• Profinite duality groups. II
• Homological criteria for finiteness
• Normal subgroups in duality groups and in groups of cohomological dimension 2
• Galois Cohomology
• Finiteness properties of duality groups
• Groups with homological duality generalizing Poincaré duality
• Pseudocompact algebras, profinite groups and class formations
• Guppen mit Poincaré-Dualität
• Sur quelques points d'algèbre homologique
• Des catégories abéliennes