English

Essential dimension of finite groups in prime characteristic

Group Theory 2018-03-28 v3 Algebraic Geometry

Abstract

Given a finite smooth group scheme GG over a field of characteristic p>0p > 0, we show that the essential dimension of GG at pp is 00 when pp does not divide the order of GG, and 11 when it does.

Keywords

Cite

@article{arxiv.1801.00089,
  title  = {Essential dimension of finite groups in prime characteristic},
  author = {Zinovy Reichstein and Angelo Vistoli},
  journal= {arXiv preprint arXiv:1801.00089},
  year   = {2018}
}

Comments

7 pages. Added a new proof of a key lemma due to a referee, and made some more minor changes. Accepted for publication in Comptes Rendus Mathematique