(a) Give an example of a group which is abelian but not cyclic.

K4 right?

(b) Find 2^2005 in $\displaystyle \mathbb{Z}_{17}$ (non-zero elements)

(c) Find all solutions $\displaystyle x \in \mathbb{Z}$ to the equation

$\displaystyle 2^x = 3~mod~11$