Polycyclic-by-finite groups admit a bounded-degree polynomial structure

DOI10.1007/s002220050160zbMath0867.20031OpenAlexW1977343094MaRDI QIDQ678260

Paul Igodt, Karel Dekimpe

Publication date: 22 June 1997

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002220050160

zbMATH Keywords

polycyclic-by-finite groupsHirsch lengthcohomology vanishing theoremgroups of polynomial diffeomorphisms

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Other groups related to topology or analysis (20F38) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Related Items (11)

Groups of polynomial automorphisms of the plane ⋮ Central theorems for cohomologies of certain solvable groups ⋮ Crystallographic actions on Lie groups and post-Lie algebra structures ⋮ Polynomial structures on polycyclic groups ⋮ Cohomology of virtually nilpotent groups with coefficients in \(\mathbb{R}^k\). ⋮ The Auslander conjecture for NIL-affine crystallographic groups. ⋮ Computational Aspects of Group Extensions and Their Applications in Topology ⋮ Nil-affine crystallographic actions of virtually polycyclic groups ⋮ Crystallographic actions on contractible algebraic manifolds ⋮ The real cohomology of virtually nilpotent groups ⋮ An averaging formula for Nielsen numbers on infra-solvmanifolds

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