On the generalized Bykovskii presentation of Steinberg modules
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- ON THE GENERALIZED BYKOVSKI˘I PRESENTATION OF STEINBERG
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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.
Originalsprog | Engelsk |
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Tidsskrift | International Mathematics Research Notices |
Vol/bind | 2022 |
Udgave nummer | 13 |
Sider (fra-til) | 10347–10401 |
ISSN | 1073-7928 |
DOI | |
Status | Udgivet - 2022 |
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