On elements of order p^s in the plane Cremona group over a field of characteristic p

2008/11/10 by Igor Dolgachev, Dolgachev, Igor V.
Mathematics · #14E07 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.0811.1390

openalex publication_date 2008/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 and it does not contain elements of order p² unless p =2. Also we describe conjugacy classes of elements of order 4.

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