Abstract algebra is, at its core, the study of algebraic structures. As the name implies, these structures can be studied in the abstract. Therefore universal properties can be examined and proven generally, as opposed to being studied number...
The goal of this thesis is to trace the development in mathematical theory that led to the proof of the insolvability of the quintic. That is, there does not exist a general formula in radicals for equations of the form [not reproducible-see full...