Jordan Property for the Cremona Group over a Finite Field

We show that the Cremona group of rank 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 , , and .

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Bibliographische Detailangaben
Veröffentlicht in:	Proceedings of the Steklov Institute of Mathematics 2023-03, Vol.320 (1), p.278-289
Hauptverfasser:	Prokhorov, Yuri G., Shramov, Constantin A.
Format:	Artikel
Sprache:	eng
Schlagworte:	14/34 639/766/189 639/766/530 639/766/747 Fields (mathematics) Mathematics Mathematics and Statistics Upper bounds
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We show that the Cremona group of rank 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 , , and .
ISSN:	0081-5438 1531-8605
DOI:	10.1134/S0081543823010133