Journal of Soviet Mathematics

, Volume 36, Issue 1, pp 129–139 | Cite as

Complete affine locally flat manifolds with a free fundamental group

  • G. A. Margulis


Examples of free noncommutative subgroups of the affine group A(3), which act properly discontinuously on ℝ3, are constructed in the paper. These examples refute a conjecture of Milnor to the effect that the fundamental group of any complete affine locally flat manifold contains a sòlvable subgroup of finite index.


Manifold Fundamental Group Finite Index Affine Group Flat Manifold 
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Literature cited

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Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • G. A. Margulis

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