Abstract Algebra 8.2: Order of an Element in a Direct Product

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We do some motivating examples, and then show how to find the order of an element in a direct product of groups.
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Thank you sir... because of you only I learned this topic...but, I have one doubt...In last example (3, 6 ) ... How order of 3 is 2…. 3² =9 .. then in Z₆ it will go to 2 only... Please explain... I am right or wrong...

vembuselvi
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Great video! I'd like to add that in Zn, |x| = n / gcd(n, x). This makes it easier when dealing with large values of n.

christiancameron