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arXiv · 2507.04519

Locally isotropic Steinberg groups II. Schur multipliers

Egor Voronetsky
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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 $ (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.

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Egor Voronetsky. 2025-07-06. Locally isotropic Steinberg groups II. Schur multipliers. https://arxiv.org/abs/2507.04519

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