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Locally isotropic Steinberg groups II. Schur multipliers

Published 6 Jul 2025 in math.GR and math.KT | (2507.04519v1)

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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