Theorem 11.5: The group Zm x Zn is cyclic (hence isomorphic to Zmn) if and only if gcd(m, n) = 1

Name: Theorem 11.5: The group Zm x Zn is cyclic (hence isomorphic to Zmn) if and only if gcd(m, n) = 1.
Uploaded: 2022-02-18T10:14:25-08:00
Duration: 3 min 17 s
Channel: Namya K
Description: Theorem 11.5: The group Zm x Zn is cyclic (hence isomorphic to Zmn) if and only if gcd(m, n) = 1.

Question

David Nguyen · Accepted Answer

First, we need to understand what the theorem is saying. It&#x27;s saying that the direct product of

Question

Theorem 11.5: The group Zm x Zn is cyclic (hence isomorphic to Zmn) if and only if gcd(m, n) = 1.

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