Cocompact Spherical-Euclidean Spaceform Groups of Infinite VCD |
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Authors: | Farrell, F. T. Stark, C. W. |
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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 |
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Abstract: | We exhibit closed manifolds M covered by S2n1 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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