Scientists / Open questions
Emmy Noether
Abstract algebra; symmetries and conservation laws
4 questions
Noether's minimal-basis problem: characterizing rational intermediate fields of transcendence degree at least three
Finite-constant and non-commutative operator modules: the unabsorbed multiplicity theorems of Noether–Schmeidler's 1920 theory
Noether's 1918 left-open group-theoretic questions: closure of variational symmetry groups containing derivatives of , recovery of infinite groups from infinitesimal transformations, and the most general improper-energy groups
Noether's problem: rationality of the invariant fields of finite permutation groups (the open core of Noether's 1917 paper 'Gleichungen mit vorgeschriebener Gruppe')