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What is Explicit presentation of relative Steinberg groups about?

We find an explicit presentation of relative linear Steinberg groups $\mathrm{St}(n, R, I)$ for any ring $R$ and $n \geq 4$ by generators and relations as abstract groups. We also prove a similar result for relative simply laced Steinberg groups $\mathrm{St}(\Phi; R, I)$ for commutative $R$ and $\Phi \in \{\mathsf A_\ell, \mathsf D_\ell, \mathsf E_\ell \mid \ell \geq 3\}$.

Author

Voronetsky, Egor

Published

2021

Language

EN