Differential Galois theory extends the classical study of algebraic symmetries into the realm of differential equations. This area investigates the relationship between a differential equation’s ...

A Galois theory is obtained for fields $k$ of characteristic $p \neq 0$ in which the Galois subfields $h$ are those for which $k/h$ is normal, modular, and for some ...

Let k be a field, F a finite subfield and G a connected solvable algebraic matric group defined over F. Conditions on G and k are given which ensure the existence of a Galois extension of k with group ...