ABSTRACT
G/H = {aH : a ∈ G} , forms a group under the operation (aH)(bH) = (ab)H and is called the factor group or the quotient group of G relative to H .
The factor groups of a group G can be useful in revealing important information aboutG. For example, letting C(G) represent the center of G, if G/C(G) is cyclic it follows that G is an Abelian group.
