On the Rothenberg-Steenrod spectral sequence for the mod 2 cohomology of classifying spaces of spinor groups
Abstract
We compute the cotorsion product of the mod 2 cohomology of spinor group spin(n), which is the E2-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.
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