Abstract
The fundamental groupΓ of a compact complete affine manifold is represented as an affine crystallographic subgroup of Aff(n). L.S.Auslander conjectured thatΓ is virtually solvable. Our purpose is to find the algebraic condition onΓ which leads affirmative answer to the conjecture.
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Kawabe, T. On the properly discontinuous subgroups of affine motions. Manuscripta Math 95, 529–543 (1998). https://doi.org/10.1007/BF02678048
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DOI: https://doi.org/10.1007/BF02678048