Margulis, G. A. Complete affine locally flat manifolds with free fundamental group. (Russian. English summary) Zbl 0547.57030 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 134, 190-205 (1984). Summary: Certain free non-abelian subgroups of the affine group \(A(3)\) acting properly discontinuously on \(\mathbb{R}^3\) are constructed. These examples disprove a conjecture of J. Milnor [Adv. Math. 25, 178–187 (1977; Zbl 0364.55001)] stating that the fundamental group of any complete locally flat affine manifold contains a solvable subgroup of finite index. Cited in 7 ReviewsCited in 15 Documents MSC: 57S30 Discontinuous groups of transformations 57R19 Algebraic topology on manifolds and differential topology 57M05 Fundamental group, presentations, free differential calculus 53C20 Global Riemannian geometry, including pinching Keywords:free non-abelian subgroups; affine group A(3); fundamental group; complete locally flat affine manifold; solvable subgroup of finite index Citations:Zbl 0364.55001 PDFBibTeX XMLCite \textit{G. A. Margulis}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 134, 190--205 (1984; Zbl 0547.57030) Full Text: EuDML