# Identify Z_3 x Z_m

• Apr 5th 2009, 02:39 PM
georgel
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.

• Apr 5th 2009, 02:51 PM
NonCommAlg
Quote:

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.

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