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Thread: Identify Z_3 x Z_m

  1. April 5th 2009, 01:39 PM #1
    georgel
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    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.
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  2. April 5th 2009, 01:51 PM #2
    NonCommAlg
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    Quote Originally Posted by georgel View Post
    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.
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  3. April 5th 2009, 02:02 PM #3
    georgel
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    Quote Originally Posted by NonCommAlg View Post
    \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!
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