# Math Help - Abelian and Cyclic groups

1. ## Abelian and Cyclic groups

Another Group theory question - sorry! Any help greatly appreciated...

2. try doing it by force. it has only 8 elements as they say..

3. What method do I use for this?

4. you already have $A$ and $B$ initial elements..

now, how will you get other elements? try solving for $AB$, $BA$, $AA$, $BB$..
if you obtain other elements other than the identity, $A$ and $B$, try multiplying it with either $A$ or $B$ to obtain another elements..

5. Thanks, so would i try the following to confirm:

AA
AB
BA
BB
ABA
BAA
AAB
BBA

and the answers that dont give A or B or e are the non identity elements (in product form)

6. Thanks