G.N. Chebotarev's "On the Klein-Hilbert Resolvent Problem"

Abstract

This is an English translation of G.N. Chebotarev's paper "On The Klein-Hilbert Resolvent Problem" which was originally written in Russian and published in Izvestiya Kazan. Fiz. Mat. Obshch., 6 (1932-1933), 5-22. In this article, Chebotarev addresses "Klein's resolvent problem"; in modern parlance, Chebotarev gives upper bounds on the essential dimension of finite simple groups via their representation theory.