English

Locally isotropic Steinberg groups II. Schur multipliers

Group Theory 2026-05-08 v3 K-Theory and Homology

Abstract

We compute Schur multipliers of locally isotropic Steinberg groups and of all root graded Steinberg groups with root systems of rank at least 3 3 (excluding the types H3 \mathsf H_3 and H4 \mathsf H_4 ). As an application, we show that locally isotropic Steinberg groups are well defined as abstract groups.

Keywords

Cite

@article{arxiv.2507.04519,
  title  = {Locally isotropic Steinberg groups II. Schur multipliers},
  author = {Egor Voronetsky},
  journal= {arXiv preprint arXiv:2507.04519},
  year   = {2026}
}

Comments

Rewritten section 4.2 and added lemma 23