Subject: Turchin's question about H(O(n);Z) From: "David W. Lyons" Date: Thu, 27 Oct 2005 16:31:37 -0400 Victor Turchin asked: > What is known about the homology algebra over integers of the orthogonal > group O(n) and its classifying space BO(n)? Do anyone know precise Here are two references that might help. Pittie, Harsh V. The integral homology and cohomology rings of ${\rm SO}(n)$ and ${\rm Spin}(n)$. J. Pure Appl. Algebra 73 (1991), no. 2, 105--153. Benson, D. J.; Wood, Jay A. Integral invariants and cohomology of $B{\rm Spin}(n)$. Topology 34 (1995), no. 1, 13--28. -David -- David W. Lyons Mathematical Sciences lyons@lvc.edu Lebanon Valley College, 101 N. College Avenue, Annville, PA 17003 717-867-6081 http://mas.lvc.edu/~lyons