Finite Group Schemes of Essential Dimension One
Najmuddin FakhruddinSchool of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
We prove that if a finite group scheme over a field has essential dimension one, then it embeds in . We use this to give an explicit classification of all infinitesimal group schemes of essential dimension one over any field and a characterisation of all finite group schemes of essential dimension one over algebraically closed fields.
Cite this article
Najmuddin Fakhruddin, Finite Group Schemes of Essential Dimension One. Doc. Math. 25 (2020), pp. 55–64DOI 10.4171/DM/737