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arXiv · 1909.02637

A Horrocks-type theorem for even orthogonal $K_2$

Andrei Lavrenov·Sergey Sinchuk
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Abstract

We prove the Horrocks theorem for unstable even-dimensional orthogonal Steinberg groups. The Horrocks theorem for Steinberg groups is one of the principal ingredients needed for the proof of the $\mathrm{K}_2$-analogue of Serre's problem, whose positive solution is currently known only in the linear case.

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BibTeXRIS

Andrei Lavrenov, Sergey Sinchuk. 2019-09-05. A Horrocks-type theorem for even orthogonal $K_2$. https://doi.org/10.25537/dm.2020v25.767-809

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