# Math Help - group theory

1. ## group theory

Can anyone find a group st

All elements are of order 3 or 1 and the
group is in finite.

2. What about $G= \oplus_{n\in \mathbb{N} } \mathbb{Z} _{3_n}$ where $\mathbb{Z} _{3_n}=\mathbb{Z} _3$?