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arXiv · 2006.10906

On the generalized Bykovskii presentation of Steinberg modules

Alexander Kupers·Jeremy Miller·Peter Patzt·Jennifer C. H. Wilson
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Abstract

We study presentations of the virtual dualizing modules of special linear groups of number rings, the Steinberg modules. Bykovskii gave a presentation for the Steinberg modules of the integers, and our main result is a generalization of this presentation to the Gaussian integers and the Eisenstein integers. We also show that this generalization does not give a presentation for the Steinberg modules of several Euclidean number rings.

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BibTeXRIS

Alexander Kupers, Jeremy Miller, Peter Patzt, Jennifer C. H. Wilson. 2020-06-19. On the generalized Bykovskii presentation of Steinberg modules. https://doi.org/10.1093/imrn%2Frnab028

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