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arXiv · 0904.0800

On the Rothenberg-Steenrod spectral sequence for the mod 2 cohomology of classifying spaces of spinor groups

Masaki Kameko·Mamoru Mimura
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Abstract

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.

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Masaki Kameko, Mamoru Mimura. 2009-04-05. On the Rothenberg-Steenrod spectral sequence for the mod 2 cohomology of classifying spaces of spinor groups. https://doi.org/10.2140/gtm.2008.13.261

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