Category of groups

In mathematics, particularly in the field of abstract algebra and category theory, a **category of groups** is a concept that arises from the framework of category theory, which is a branch of mathematics that deals with objects and morphisms (arrows) between them. ### Basic Definitions 1. **Category**: A category consists of: - A collection of objects. - A collection of morphisms (arrows) between those objects, which can be thought of as structure-preserving functions.