On the Generalized Bykovskiĭ Presentation of Steinberg Modules-Reference-Cited by-同舟云学术

On the Generalized Bykovskiĭ Presentation of Steinberg Modules

Published:2021-03-27 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Kupers Alexander¹,Miller Jeremy²,Patzt Peter³⁴,Wilson Jennifer C H⁵

Affiliation:

1. Department of Computer and Mathematical Sciences, University of Toronto Scarborough, 1265 Military Trail, Toronto, ON M1C 1A4, Canada

2. Department of Mathematics, Purdue University, 150 North University, West Lafayette, IN, 47907, USA

3. Department of Mathematical Science, University of Copenhagen, Universitetsparken 5, Copenhagen Ø, DK-2100, Denmark

4. Department of Mathematics, The University of Oklahoma, 601 Elm Avenue, Norman, OK, 73019, USA

5. Department of Mathematics, University of Michigan, 530 Church St, Ann Arbor, MI, 48109, USA

Abstract

Abstract We study presentations of the virtual dualizing modules of special linear groups of number rings, the Steinberg modules. Bykovskiĭ gave a presentation for the Steinberg modules of the integers, and our main result is a generalization of this 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.

Funder

National Science Foundation

Danish National Research Foundation

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab028/36765942/rnab028.pdf

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