English

A Horrocks-type theorem for even orthogonal $K_2$

Group Theory 2023-02-23 v7

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 K2\mathrm{K}_2-analogue of Serre's problem, whose positive solution is currently known only in the linear case.

Keywords

Cite

@article{arxiv.1909.02637,
  title  = {A Horrocks-type theorem for even orthogonal $K_2$},
  author = {Andrei Lavrenov and Sergey Sinchuk},
  journal= {arXiv preprint arXiv:1909.02637},
  year   = {2023}
}
R2 v1 2026-06-23T11:07:13.800Z