Farrell, F. T.; Stark, C. W. Cocompact spherical-Euclidean spaceform groups of infinite VCD. (English) Zbl 0794.57016 Bull. Lond. Math. Soc. 25, No. 2, 189-192 (1993). This paper exhibits closed manifolds \(M\) covered by \(S^{2n-1}\times \mathbb{R}^ k\) for all \(n\geq 2\) and for sufficiently large \(k\), with fundamental groups of infinite virtual cohomological dimension. These examples are based on results of M. S. Raghunathan [Math. Ann. 266, 403-419 (1984; Zbl 0513.22008)] on lattices in covers of spin and symplectic groups and address a problem first raised by Wall. Reviewer: F.T.Farrell, C.W.Stark (Gainesville/Florida) Cited in 2 Documents MSC: 57S30 Discontinuous groups of transformations 18G20 Homological dimension (category-theoretic aspects) 20J05 Homological methods in group theory 22E40 Discrete subgroups of Lie groups Keywords:virtual cohomological dimension; spherical-Euclidean spaceform problem; discrete subgroups of Lie groups Citations:Zbl 0513.22008; Zbl 0529.22008 PDFBibTeX XMLCite \textit{F. T. Farrell} and \textit{C. W. Stark}, Bull. Lond. Math. Soc. 25, No. 2, 189--192 (1993; Zbl 0794.57016) Full Text: DOI