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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2023, Volume 320, Pages 298–310
DOI: https://doi.org/10.4213/tm4298 (Mi tm4298) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Jordan Property for the Cremona Group over a Finite Field

Yuri G. Prokhorovab, Constantin A. Shramovab

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b Laboratory of Algebraic Geometry and Its Applications, HSE University, ul. Usacheva 6, Moscow, 119048 Russia
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DOI: https://doi.org/10.4213/tm4298
Abstract: We show that the Cremona group of rank 2 over a finite field is Jordan, and provide an upper bound for its Jordan constant which is sharp when the number of elements in the field is different from 2, 4, and 8.
Funding agency Grant number
Russian Science Foundation 18-11-00121
This work was supported by the Russian Science Foundation under grant no. 18-11-00121, https://rscf.ru/project/18-11-00121/.
Received: December 14, 2021
Revised: March 14, 2022
Accepted: September 16, 2022
English version:
Proceedings of the Steklov Institute of Mathematics, 2023, Volume 320, Pages 278–289
DOI: https://doi.org/10.1134/S0081543823010133
Bibliographic databases:
Document Type: Article
UDC: 512.76
Language: Russian
Citation: Yuri G. Prokhorov, Constantin A. Shramov, “Jordan Property for the Cremona Group over a Finite Field”, Algebra and Arithmetic, Algebraic, and Complex Geometry, Collected papers. In memory of Academician Alexey Nikolaevich Parshin, Trudy Mat. Inst. Steklova, 320, Steklov Math. Inst., Moscow, 2023, 298–310; Proc. Steklov Inst. Math., 320 (2023), 278–289
Citation in format AMSBIB
\Bibitem{ProShr23}
\by Yuri~G.~Prokhorov, Constantin~A.~Shramov
\paper Jordan Property for the Cremona Group over a Finite Field
\inbook Algebra and Arithmetic, Algebraic, and Complex Geometry
\bookinfo Collected papers. In memory of Academician Alexey Nikolaevich Parshin
\serial Trudy Mat. Inst. Steklova
\yr 2023
\vol 320
\pages 298--310
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4298}
\crossref{https://doi.org/10.4213/tm4298}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2023
\vol 320
\pages 278--289
\crossref{https://doi.org/10.1134/S0081543823010133}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85152525735}
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    • This publication is cited in the following 2 articles:
    1. A V Zaitsev, “Jordan Constants of Cremona Group of Rank 2 Over Fields of Characteristic Zero”, International Mathematics Research Notices, 2025:6 (2025)  crossref
    2. Russian Math. Surveys, 78:1 (2023), 1–64  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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