# Thread: Identify Z_3 x Z_m

1. ## Identify Z_3 x Z_m

Identify $\mathbb{Z}_2 \otimes \mathbb{Z}_m$, depending on m.

I have no idea where to start. I don't even know what exactly does 'identify' mean.

Please help.

2. Originally Posted by georgel
Identify $\mathbb{Z}_2 \otimes \mathbb{Z}_m$, depending on m.

I have no idea where to start. I don't even know what exactly does 'identify' mean.

Please help.
$\mathbb{Z}_2 \otimes \mathbb{Z}_m \cong \mathbb{Z}_d,$ where $d=\gcd(2,m).$ see my post in here.

3. Originally Posted by NonCommAlg
$\mathbb{Z}_2 \otimes \mathbb{Z}_m \cong \mathbb{Z}_d,$ where $d=\gcd(2,m).$ see my post in here.
Thank you so much for this quick and useful reply!