Given two posets with two monotone functions between them, the posets correspond according to a connection theorem due to this person. An unsolved problem arising in a framework this scientist proposed asks whether every finite group corresponds to one of the quotients of the rationals that this mathematician discovered. The fundamental theorem of the aforementioned framework states that there exists a correspondence between the subextensions of a finite, normal, separable field extension and the extension's automorphisms; both normal, separabl
Given two posets with two monotone functions between them, the posets correspond according to a connection theorem due to this person. An unsolved problem arising in a framework this scientist proposed asks whether every finite group corresponds to one of the quotients of the rationals that this mathematician discovered. The fundamental theorem of the aforementioned framework states that there exists a correspondence between the subextensions of a finite, normal, separable field extension and the extension's automorphisms; both normal, separable field extensions and their automorphism (*) groups are named for him. For 10 points, name this mathematician whose namesake theory can be used to prove that quintic equations are not solvable by radicals because his namesake group corresponding to the quintic isn't solvable.
Given two posets with two monotone functions between them, the posets correspond according to a connection theorem due to this person.
Évariste {Galois}