A Note on Projective and Flat Dimensions and the Bieri-Neumann-Strebel-Renz Σ-Invariants

DOI10.1080/00927870601041706zbMath1134.20061OpenAlexW1971784393MaRDI QIDQ3430280

Dessislava H. Kochloukova

Publication date: 21 March 2007

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

Full work available at URL: https://doi.org/10.1080/00927870601041706

zbMATH Keywords

projective dimensioncohomological dimensionshomological dimensionshomological invariantsfinitely generated soluble groupsflat dimension

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Homological methods in group theory (20J05) Homological dimension (category-theoretic aspects) (18G20) Homological dimension in associative algebras (16E10)

Cites Work

• Cohomological dimension of soluble groups
• A geometric invariant of discrete groups
• Valuations on free resolutions and higher geometric invariants of groups
• Trees, valuations, and the Bieri-Neumann-Strebel invariant
• A geometric invariant for nilpotent-by-Abelian-by-finite groups
• Constructable solvable groups
• Finite domination and Novikov rings
• Unnamed Item
• Unnamed Item

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