Invariant subspaces of affine groups - An algebraic version of a theorem of Bieberbach

DOI10.1016/0021-8693(86)90042-6zbMath0592.51018OpenAlexW2049271374MaRDI QIDQ1075595

Andreas W. M. Dress, Herbert Abels

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90042-6

zbMATH Keywords

affine groupisometriesalmost orthogonal transformationBieberbach's theorem on discrete groups of Euclidean affineBieberbach's theorem on discrete groups of Euclidean affine isometries

Mathematics Subject Classification ID

Other geometric groups, including crystallographic groups (20H15) Affine analytic geometry (51N10)

Related Items (1)

Auslander's theorem on discontinuous semigroups and crystallographic semigroups

Cites Work

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• Strong finiteness conditions in locally finite groups
• Free subgroups in linear groups
• Growth of connected locally compact groups
• Croissance polynomiale et périodes des fonctions harmoniques
• Distal affine transformation groups.

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