If |G|= pq, where p and q are primes that are not necessarily distinct, prove that |Z(G)| =1 or pq.
So by reading the chapter I know that the G/Z theorem should be used. Can we say |Z(G)|=1 because pq/pq=1. That would be my initial guess. Any help would be great. Thanks.
So by reading the chapter I know that the G/Z theorem should be used. Can we say |Z(G)|=1 because pq/pq=1. That would be my initial guess. Any help would be great. Thanks.