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 ...

Let $G$ be a group. An element $g$ of $G$ is c.d. in $G$ if and only if, given any element $h$ of $G$, either $h$ is conjugate to $g$ or there is a homomorphism $\xi ...