An infinite-dimensional torsion-free \(\text{FP}_{\infty}\) group

DOI10.1007/BF01388451zbMath0557.55009OpenAlexW2050025267WikidataQ56385168 ScholiaQ56385168MaRDI QIDQ761661

Ross Geoghegan, K. Stephen Brown

Publication date: 1984

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143150

zbMATH Keywords

finitely presented groupfinitely generated projective resolutiongroup of infinite cohomological dimensionhomotopy idempotents on finite-dimensional complexesof the group ring

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Resolutions; derived functors (category-theoretic aspects) (18G10) Homotopy theory (55P99) Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Generalized manifolds (57P99)

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