Let F be a field of characteristic and G be a smooth finite algebraic group over F. We compute the essential dimension of G at p. That is, we show that
Soit F un corps de caractéristique , et soit G un groupe algébrique fini étale sur F. On calcule la dimension essentielle de G en p, que l'on note . Plus précisément, on démontre que
Accepted:
Published online:
Zinovy Reichstein 1; Angelo Vistoli 2
@article{CRMATH_2018__356_5_463_0, author = {Zinovy Reichstein and Angelo Vistoli}, title = {Essential dimension of finite groups in prime characteristic}, journal = {Comptes Rendus. Math\'ematique}, pages = {463--467}, publisher = {Elsevier}, volume = {356}, number = {5}, year = {2018}, doi = {10.1016/j.crma.2018.03.013}, language = {en}, }
Zinovy Reichstein; Angelo Vistoli. Essential dimension of finite groups in prime characteristic. Comptes Rendus. Mathématique, Volume 356 (2018) no. 5, pp. 463-467. doi : 10.1016/j.crma.2018.03.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.03.013/
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☆ The authors are grateful to the Collaborative Research Group in Geometric and Cohomological Methods in Algebra at the Pacific Institute for the Mathematical Sciences for their support of this project.
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