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On the properly discontinuous subgroups of affine motions
Authors:Tatsuya Kawabe
Affiliation:(1) Department of Mathematical Science, Graduate School of Science and Technology, Niigata, University Ikarashi, 950-21 Niigata, Japan
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.
Keywords:22E40
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