On the generalized Bykovskii presentation of Steinberg modules
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- ON THE GENERALIZED BYKOVSKI˘I PRESENTATION OF STEINBERG
Submitted manuscript, 789 KB, PDF document
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.
Original language | English |
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Journal | International Mathematics Research Notices |
Volume | 2022 |
Issue number | 13 |
Pages (from-to) | 10347–10401 |
ISSN | 1073-7928 |
DOIs | |
Publication status | Published - 2022 |
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