Abstract
We show that the plane Cremona group over a perfect field k of characteristic p ≥ 0 contains an element of prime order l ≥ 7 not equal to p if and only if there exists a two-dimensional algebraic torus T over k such that T(k) contains an element of order l. If p = 0 and k does not contain a primitive lth root of unity, we show that there are no elements of prime order l > 7 in and all elements of order 7 are conjugate.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
