Quotient groups

A quotient group is a way to simplify a larger group by grouping elements into larger collections called cosets, based on a subgroup. Think of it like dividing a set of objects into categories where each category contains elements that are related in a specific way. The quotient group then consists of these categories as single entities, and the operation between categories reflects how the original elements combine. This process helps analyze complex structures by focusing on their broader patterns, revealing properties like symmetry and redundancy within the original group.