On some cohomological invariants for large families of infinite groups

zbMath1472.18006MaRDI QIDQ2045872

Rudradip Biswas

Publication date: 16 August 2021

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2021/27-31.html

zbMATH Keywords

finitistic dimensionGorenstein projectivescomplete resolutionsGorenstein cohomological dimensionKropholler's hierarchy

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Projectives and injectives (category-theoretic aspects) (18G05) Homological and categorical methods for abelian groups (20K40)

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Projectively coresolved Gorenstein flat dimension of groups

Cites Work

• On certain cohomological invariants of groups.
• Homological dimension and Farrel cohomology
• On the hierarchy of cohomological dimensions of groups
• Complete cohomological functors on groups
• On groups of type \((FP)_\infty\)
• On complete resolutions
• Complexity and varieties for infinite groups. I
• Groups acting on finite dimensional spaces with finite stabilizers
• Gorenstein homological dimensions.
• The stable category and invertible modules for infinite groups
• On a relation between certain cohomological invariants.
• On groups of type \(\Phi\).
• A note on complete resolutions
• Groups possessing extensive hierarchical decompositions
• Gorenstein dimension and proper actions
• Homological Finiteness Conditions for Modules Over Group Algebras
• Gorenstein dimension and group cohomology with group ring coefficients
• Classifying spaces for proper actions of locally finite groups
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