On Groups with Periodic Relative Cohomology

DOI10.1080/00927872.2010.531071zbMath1246.20045OpenAlexW2067410278MaRDI QIDQ2880414

Ali Hajizamani

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.531071

zbMATH Keywords

flat modulesgroup ringsinjective modulescup productsrelative cohomologyproper resolutionscovering classesflat lengthsinjective lengthsperiodic flat resolutions

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Cohomology of groups (20J06) Projectives and injectives (category-theoretic aspects) (18G05) Homological dimension in associative algebras (16E10)

Cites Work

• On certain cohomological invariants of groups.
• On certain homological invariants of groups.
• Complete cohomological functors on groups
• On cohomological periodicity for infinite groups
• Pure-periodic modules and a structure of pure-projective resolutions.
• Relative homological algebra
• ALL MODULES HAVE FLAT COVERS
• Periodic Projective Resolutions
• PERIODICITY IN GROUP COHOMOLOGY AND COMPLETE RESOLUTIONS
• Periodic flat modules, and flat modules for finite groups.
• Periodic complexes and group actions
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