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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A novel witness to incoherence of $\mathrm {SL}_5(\mathbb {Z})$
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by Sami Douba;
Proc. Amer. Math. Soc. 152 (2024), 1451-1455
DOI: https://doi.org/10.1090/proc/16742
Published electronically: February 15, 2024

Abstract:

Motivated by a question of Stover, we discuss an example of a Zariski-dense finitely generated subgroup of $\mathrm {SL}_5(\mathbb {Z})$ that is not finitely presented.
References
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Bibliographic Information
  • Sami Douba
  • Affiliation: Institut des Hautes Études Scientifiques, Université Paris-Saclay, 35 route de Chartres, 91440 Bures-sur-Yvette, France
  • MR Author ID: 1525911
  • ORCID: 0000-0001-7880-5376
  • Email: douba@ihes.fr
  • Received by editor(s): May 1, 2023
  • Received by editor(s) in revised form: August 14, 2023
  • Published electronically: February 15, 2024
  • Additional Notes: The author was supported by the Huawei Young Talents Program.
  • Communicated by: Genevieve S. Walsh
  • © Copyright 2024 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 152 (2024), 1451-1455
  • MSC (2020): Primary 20F65; Secondary 20F67, 57M50
  • DOI: https://doi.org/10.1090/proc/16742
  • MathSciNet review: 4709217