Infinite branching in the first syzygy.

DOI10.1016/J.JALGEBRA.2011.03.036zbMath1260.16007OpenAlexW2141707699MaRDI QIDQ657981

Francis E. A. Johnson

Publication date: 11 January 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.03.036

zbMATH Keywords

projective modulesintegral group ringsresolutionsaugmentation idealstably free modulesfirst syzygystably equivalent modules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Grothendieck groups, (K)-theory, etc. (16E20) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Syzygies, resolutions, complexes in associative algebras (16E05) Stability for projective modules (19A13)

Cites Work

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• Stable modules and Wall's D(2)-problem
• Projective modules over free groups are free
• Some remarks on the invariant basis property
• Cohomological topics in group theory.
• On groups satisfying Poincaré duality
• Projective modules over binary polyhedral groups.
• Homotopy classification and the generalized Swan homomorphism
• Left and right inverses in group algebras

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