Any virtually polycyclic group admits a NIL-affine crystallographic action.

DOI10.1016/S0040-9383(02)00030-7zbMath1036.20044MaRDI QIDQ1868040

Karel Dekimpe

Publication date: 27 April 2003

Published in: Topology (Search for Journal in Brave)

zbMATH Keywords

nilpotent Lie groupsaffine groupssolvable Lie groupspolynomial diffeomorphismsvirtually polycyclic groupscrystallographic actions

Mathematics Subject Classification ID

Other geometric groups, including crystallographic groups (20H15) Discontinuous groups of transformations (57S30)

Related Items (8)

Crystallographic actions on Lie groups and post-Lie algebra structures ⋮ Cohomology of virtually nilpotent groups with coefficients in \(\mathbb{R}^k\). ⋮ The Auslander conjecture for NIL-affine crystallographic groups. ⋮ Complete LR-structures on solvable Lie algebras ⋮ Poly-\(\mathbb{Z}\) group actions on Kirchberg algebras. II ⋮ Post-Lie algebra structures on pairs of Lie algebras ⋮ Nil-affine crystallographic actions of virtually polycyclic groups ⋮ Crystallographic actions on contractible algebraic manifolds

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