# Identify Z_3 x Z_m

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• April 5th 2009, 01:39 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.

Please help. :(
• April 5th 2009, 01:51 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.

Please help. :(

$\mathbb{Z}_2 \otimes \mathbb{Z}_m \cong \mathbb{Z}_d,$ where $d=\gcd(2,m).$ see my post in here.
• April 5th 2009, 02:02 PM
georgel
Quote:

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!