%0 Journal Article %T On the Rothenberg-Steenrod spectral sequence for the mod 2 cohomology of classifying spaces of spinor groups %A Masaki Kameko %A Mamoru Mimura %J Mathematics %D 2009 %I arXiv %R 10.2140/gtm.2008.13.261 %X We compute the cotorsion product of the mod 2 cohomology of spinor group spin(n), which is the E_2-term of the Rothenberg-Steenrod spectral sequence for the mod 2 cohomology of the classifying space of the spinor group spin(n). As a consequence of this computation, we show the non-collapsing of the Rothenberg-Steenrod spectral sequence for n > 16. %U http://arxiv.org/abs/0904.0800v1