On the Zeroeth Complete Cohomology of Certain Polycyclic Groups

DOI10.1080/00927870801941622zbMath1227.20045OpenAlexW1972674152MaRDI QIDQ3514824

Fotini Dembegioti

Publication date: 23 July 2008

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

Full work available at URL: https://doi.org/10.1080/00927870801941622

zbMATH Keywords

cohomology of groupspolycyclic groupsorders of finite subgroupsgroups of finite virtual cohomological dimensioncomplete projective resolutionsexponents of complete cohomology

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Cohomology of groups (20J06) Resolutions; derived functors (category-theoretic aspects) (18G10) Projectives and injectives (category-theoretic aspects) (18G05)

Cites Work

• Unnamed Item
• Equivariant Tate-Vogel homology
• Products in negative cohomology
• An extension of Tate cohomology to a class of infinite groups
• On groups of type \((FP)_\infty\)
• Tate cohomology for arbitrary groups via satellites
• On complete resolutions
• Discrete groups with large exponents in cohomology
• On the Exponent of Cohomology of Discrete Groups

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