Geodesic
Motivic cohomology of the Nisnevich classifying space of even Clifford groups
Documenta mathematica, Tome 29 (2024) no. 1, pp. 191-208

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In this paper, we consider the split even Clifford group Γn+​ and compute the mod 2 motivic cohomology ring of its Nisnevich classifying space. The description we obtain is quite similar to the one provided for spin groups in [Math. Z. 301 (2022), no. 1, 41–74]. The fundamental difference resides in the behaviour of the second subtle Stiefel–Whitney class that is non-trivial for even Clifford groups, while it vanishes in the spin-case.
DOI : 10.4171/dm/931
Classification : 14F42, 20G15, 55R40
Mots-clés : Clifford groups, motivic cohomology, Nisnevich classifying space, characteristic classes 
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     title = {Motivic cohomology of the {Nisnevich} classifying space {of~even~Clifford} groups},
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Fabio Tanania. Motivic cohomology of the Nisnevich classifying space of even Clifford groups. Documenta mathematica, Tome 29 (2024) no. 1, pp. 191-208. doi: 10.4171/dm/931

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