On the generalized Bykovskii presentation of Steinberg modules

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  • Alexander Kupers
  • Jeremy Miller
  • Peter Patzt
  • Jennifer C. H. Wilson
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 languageEnglish
JournalInternational Mathematics Research Notices
Volume2022
Issue number13
Pages (from-to)10347–10401
ISSN1073-7928
DOIs
Publication statusPublished - 2022

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