Definition: Understanding Group Structures

Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.

Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.

Introduces the theory of abelian groups, focusing on p-abelian groups and their structure.

Delves into the symmetries of regular polygons, including the dihedral group and left cosets in a finite group.