A Horrocks-type theorem for even orthogonal $K_2$

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.

Cited by in corpus (1)

• Commutators of relative and unrelative elementary unitary groups