%0 Journal Article %T On elements of order p^s in the plane Cremona group over a field of characteristic p %A Igor V. Dolgachev %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0811.1390v2