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

[@christiancameron1938]

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.

[@professorkat]

Very clearly explained. Thanks

[@vembuselvi2054]

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...

[@patrickjones1510]

The group operation is addition (mod 6), not multiplication. 3 + 3 = 6, which is equal to 0 when taken mod 6.

[@vembuselvi2054]

@@patrickjones1510 ok sir..thank you sir..

[@anandsingh2977]

Thanks sir.

[@patrickjones1510]

You're welcome. I'm glad that people are getting use out of these videos.

[@fatmanurgurbuz1829]

Thank you so much

[@hanaaabdullah63]

شكرا