👉 Group math is a branch of abstract algebra that studies groups, which are algebraic structures consisting of a set of elements equipped with an operation (like addition or multiplication) that satisfy certain properties: closure, associativity, the existence of an identity element, and the existence of inverses for each element. Groups provide a framework to understand symmetry and transformations in various mathematical and physical contexts, such as geometry, number theory, and physics. The study of groups involves exploring different types of groups, including finite groups and infinite groups, and understanding their properties, classifications, and applications through concepts like subgroups, normal subgroups, quotient groups, and group homomorphisms. Group theory is fundamental in many areas of mathematics and science due to its ability to abstractly capture and analyze symmetries and structural relationships.
