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 
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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     title = {Motivic cohomology of the {Nisnevich} classifying space {of~even~Clifford} groups},
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