Groups & Subgroups: Definitions, Theorems, and Morphisms

This lecture covers the fundamental concepts of groups and subgroups, including definitions, theorems, and morphisms. It explains the properties of groups, such as associativity, neutrality, and inversibility, as well as the criteria for subgroups. The lecture also delves into the intersection of subgroups and the generation of subgroups. Additionally, it discusses morphisms of groups and their properties, demonstrating how they preserve the group structure.