On the generalized Bykovskii presentation of Steinberg modules

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On the generalized Bykovskii presentation of Steinberg modules. / Kupers, Alexander; Miller, Jeremy; Patzt, Peter; Wilson, Jennifer C. H. .

In: International Mathematics Research Notices, Vol. 2022, No. 13, 2022, p. 10347–10401.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Kupers, A, Miller, J, Patzt, P & Wilson, JCH 2022, 'On the generalized Bykovskii presentation of Steinberg modules', International Mathematics Research Notices, vol. 2022, no. 13, pp. 10347–10401. https://doi.org/10.1093/imrn/rnab028

APA

Kupers, A., Miller, J., Patzt, P., & Wilson, J. C. H. (2022). On the generalized Bykovskii presentation of Steinberg modules. International Mathematics Research Notices, 2022(13), 10347–10401. https://doi.org/10.1093/imrn/rnab028

Vancouver

Kupers A, Miller J, Patzt P, Wilson JCH. On the generalized Bykovskii presentation of Steinberg modules. International Mathematics Research Notices. 2022;2022(13):10347–10401. https://doi.org/10.1093/imrn/rnab028

Author

Kupers, Alexander ; Miller, Jeremy ; Patzt, Peter ; Wilson, Jennifer C. H. . / On the generalized Bykovskii presentation of Steinberg modules. In: International Mathematics Research Notices. 2022 ; Vol. 2022, No. 13. pp. 10347–10401.

Bibtex

@article{6a02e70c92e749e6a8a20aae1225d89b,
title = "On the generalized Bykovskii presentation of Steinberg modules",
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.",
author = "Alexander Kupers and Jeremy Miller and Peter Patzt and Wilson, {Jennifer C. H.}",
year = "2022",
doi = "10.1093/imrn/rnab028",
language = "English",
volume = "2022",
pages = "10347–10401",
journal = "International Mathematics Research Notices",
issn = "1073-7928",
publisher = "Oxford University Press",
number = "13",

}

RIS

TY - JOUR

T1 - On the generalized Bykovskii presentation of Steinberg modules

AU - Kupers, Alexander

AU - Miller, Jeremy

AU - Patzt, Peter

AU - Wilson, Jennifer C. H.

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

U2 - 10.1093/imrn/rnab028

DO - 10.1093/imrn/rnab028

M3 - Journal article

VL - 2022

SP - 10347

EP - 10401

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

SN - 1073-7928

IS - 13

ER -

ID: 258772376