Geodesic
On Elements of Order $p^s$ in the Plane Cremona Group over a~Field of Characteristic~$p$
Informatics and Automation, Multidimensional algebraic geometry, Tome 264 (2009), pp. 55-62.

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We show that the plane Cremona group over a field of characteristic $p>0$ does not contain elements of order of power of $p$ larger than $2$. We also describe conjugacy classes of elements of order $p^2$. 
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I. V. Dolgachev. On Elements of Order $p^s$ in the Plane Cremona Group over a~Field of Characteristic~$p$. Informatics and Automation, Multidimensional algebraic geometry, Tome 264 (2009), pp. 55-62. http://geodesic.mathdoc.fr/item/TRSPY_2009_264_a5/

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[3] Dolgachev I. V., Iskovskikh V. A., “Finite subgroups of the plane Cremona group”, Algebra, arithmetic and geometry: Manin Festschrift, Progr. Math., 269, 270, Birkhäuser, Boston, 2009 ; arXiv: math.AG/0610595 | Zbl

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