Suppose G is a group and H is a normal subgroup of G. Prove or...
Suppose G is a group and H is a normal subgroup of G. Prove or disprove ass appropirate. If G is cyclic, then is cyclic.
Definition: A subgroup H of a group is said to be a normal subgroup of G it for all , aH = Ha
Definition: Suppose G is group, and H a normal subgruop og G. THe froup consisting of the set with operation defined by (aH)(bH)-(ab)H is called the quotient of G by H.