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Cocompact Spherical-Euclidean Spaceform Groups of Infinite VCD
Authors:Farrell, F. T.   Stark, C. W.
Affiliation:Department of Mathematical Sciences, State University of New York at Binghamton Binghamton, NY 13901, USA
Department of Mathematics, University of Maryland College Park, MD 20742, USA
Abstract:We exhibit closed manifolds M covered by S2n–1 x Rk forall n ≥ 2 and for sufficiently large k, with fundamental groupsof infinite virtual cohomological dimension. These examplesare based on results of Raghunathan on lattices in covers ofspin and symplectic groups, and address a problem first raisedby Wall.
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