Research in group theory has long embraced equations as a means to elucidate the structure and behaviour of groups. In particular, Diophantine problems—those surrounding the existence and ...

Group theory forms a cornerstone of modern algebra, providing a structured framework for analysing symmetries in mathematics, physics and beyond. A group is a set coupled with an operation that ...

Liouville's formula for certain class of linear operator equations of order n is derived. The result is applied to solving a linear second order operator equation. A number of examples which ...