Translation of Tschebotarow's "The Resolvent Problem"

2020/10/08 by Hannah Knight, Knight, Hannah
Arts and Humanities · Social Sciences · #Critical Theory and Philosophy #FOS: Mathematics #History and Overview (math.HO) #Philosophy, Science, and History

paper · pdf · doi:10.48550/arxiv.2010.04718

openalex publication_date 2020/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is an English translation of "The Resolvent Problem" by Tschebotarow/Chebotarev. In this article, Chebotarev summarizes the history of the resolvent problem from compass and ruler constructions to Klein and Hilbert' formlutions of the problems. He also describes his work on the problem up until that time. The ideas of resolvent degree and essential dimension arose out of the resolvent problems Chebotarev describes here.

Related

• G.N. Chebotarev's "On the Klein-Hilbert Resolvent Problem"
• G.N. Chebotarev's "On the Problem of Resolvents"
• Resolvent degree, Hilbert's 13th Problem and geometry
• Nikolai Chebotaryov's "Problems in Modern Galois Theory"
• Felix Klein's "About the Solution of the General Equations of Fifth and\n Sixth Degree (Excerpt from a letter to Mr. K. Hensel)"