Translation of Tschebotarow's "The Resolvent Problem"
Hannah Knight
TL;DR
This paper provides an English translation of Chebotarev's work on the resolvent problem, summarizing its historical development and Chebotarev's contributions, highlighting the concepts of resolvent degree and essential dimension.
Contribution
It offers a comprehensive historical overview and Chebotarev's insights on the resolvent problem, including foundational ideas like resolvent degree and essential dimension.
Findings
Historical progression from compass and ruler to modern solutions
Chebotarev's own contributions to the resolvent problem
Introduction of resolvent degree and essential dimension concepts
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.
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Taxonomy
TopicsCritical Theory and Philosophy · Philosophy, Science, and History