Benson, D. J.; Wood, Jay A. Integral invariants and cohomology of \(B\text{Spin}(n)\). (English) Zbl 0846.55013 Topology 34, No. 1, 13-28 (1995). Let \(\text{Spin} (n)\) be the spinor group and \(B \text{Spin} (n)\) its classifying space. The authors describe the integral cohomology \(H^* (B \text{Spin} (n), \mathbb{Z})\) as a pullback. The precise generators for \[ H^* (B \text{Spin} (n), \mathbb{Z})/ \text{torsion} \] and the form of their relations are given, but no explicit generators and relations for \(H^* (B \text{Spin} (n), \mathbb{Z})\) itself. In the stable case the groups \(H^* (B \text{Spin}, \mathbb{Z})\) and \(H^* (B \text{Spin}, \mathbb{Z}/2)\) have been calculated by E. Thomas [Bol. Soc. Mat. Mexicana, II. Ser. 7, 57-69 (1962; Zbl 0124.16401)]. Reviewer: M.Golasiński (Toruń) Cited in 11 Documents MSC: 55R40 Homology of classifying spaces and characteristic classes in algebraic topology 57T10 Homology and cohomology of Lie groups Keywords:integral cohomology; Bockstein cohomology; classifying space; compact Lie group; Euler class; Pontrjagin class; spinor group; Weyl group Citations:Zbl 0124.16401 PDFBibTeX XMLCite \textit{D. J. Benson} and \textit{J. A. Wood}, Topology 34, No. 1, 13--28 (1995; Zbl 0846.55013) Full Text: DOI