The real cohomology of virtually nilpotent groups

DOI10.1090/S0002-9947-07-04274-2zbMath1123.20043OpenAlexW1587700791MaRDI QIDQ3425945

Hannes Pouseele, Karel Dekimpe

Publication date: 7 March 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-07-04274-2

zbMATH Keywords

cohomologyhomologycrystallographic groupsvirtually nilpotent groupsaffine flat manifolds

Mathematics Subject Classification ID

Cohomology of groups (20J06) Nilpotent groups (20F18) Other geometric groups, including crystallographic groups (20H15) Cohomology theory for linear algebraic groups (20G10) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Other homology theories in algebraic topology (55N35)

Related Items (1)

Cohomology of virtually nilpotent groups with coefficients in \(\mathbb{R}^k\).

Cites Work

• Polycyclic-by-finite groups admit a bounded-degree polynomial structure
• Affine manifolds with nilpotent holonomy
• The uniqueness of polynomial crystallographic actions
• A non-affine nilvariety
• Modules for certain Lie algebras of maximal class
• Guppen mit Poincaré-Dualität
• Almost-Bieberbach groups: affine and polynomial structures
• On the cohomology of compact homogeneous spaces of nilpotent Lie groups
• Holonomy of flat affinely connected manifolds
• Polynomial structures on polycyclic groups
• Polynomial structures for nilpotent groups
• AFFINE STRUCTURES ON NILMANIFOLDS
• Cohomology of Group Extensions
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