1. The problem statement, all variables and given/known data Let G be a group and let #G=77. Prove the following: a) G is cyclic, if there is such an element a in G that a21≠1 and a22≠1 b) If there are such elements a and b, so that ord(a)=7 and ord(b)=11, then G=<a,b> 2. Relevant equations, 3. The attempt at a solution I really don't even know where to begin with these. So I'd appreciate if someone could point me in the right direction.