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

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

2008-11-10

arxiv.org/abs/0811.1390v2

Mathematics

Algebraic Geometry

10 pages,minor corrections, to appear in Proc. Steklov Inst. of Math., v. 264, 2009, 1--8

Scientific paper

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 p^2 unless p =2. Also we describe conjugacy classes
of elements of order 4.

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