Locally isotropic Steinberg groups II. Schur multipliers

Fuente: arXiv
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Autor principal: Voronetsky, Egor
Formato: Preprint
Publicado: 2025
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author Voronetsky, Egor
author_facet Voronetsky, Egor
contents We compute Schur multipliers of locally isotropic Steinberg groups and of all root graded Steinberg groups with root systems of rank at least $ 3 $ (excluding the types $ \mathsf H_3 $ and $ \mathsf H_4 $). As an application, we show that locally isotropic Steinberg groups are well defined as abstract groups.
format Preprint
id arxiv_https___arxiv_org_abs_2507_04519
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Locally isotropic Steinberg groups II. Schur multipliers
Voronetsky, Egor
Group Theory
K-Theory and Homology
19C09
We compute Schur multipliers of locally isotropic Steinberg groups and of all root graded Steinberg groups with root systems of rank at least $ 3 $ (excluding the types $ \mathsf H_3 $ and $ \mathsf H_4 $). As an application, we show that locally isotropic Steinberg groups are well defined as abstract groups.
title Locally isotropic Steinberg groups II. Schur multipliers
topic Group Theory
K-Theory and Homology
19C09
url https://arxiv.org/abs/2507.04519