English

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

History and Overview 2024-10-08 v1 Algebraic Geometry Representation Theory

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.

Cite

@article{arxiv.2410.04673,
  title  = {G.N. Chebotarev's "On the Klein-Hilbert Resolvent Problem"},
  author = {Sidhanth Raman},
  journal= {arXiv preprint arXiv:2410.04673},
  year   = {2024}
}

Comments

23 pages

R2 v1 2026-06-28T19:10:36.174Z