Abstract Algebra. How to multiply permutations in cycle notation

Title: Abstract Algebra. How to multiply permutations in cycle notation

Abstract: I explain how to multiply permutations using cycle notation.

[vadiquemyself]

but why do you compose them right-to-left?
I do it so :
(1 2) + (2 3) = (1 2 3)
and not the inverse (3 2 1) as it would be for (2 3) + (1 2) = (3 2) + (2 1)

or don't u 🤔
your example looks particularly commutative
(1 4 3 2) + (1 3) + (2 4)
also sums to
(1 2 3 4)
when (1 4 3 2) is done first

[johanlouisgouws]

Absolute GOAT in maths. Thank you so much

[riyakeerthana]

Thank u for ur crystal clear explanation

[MasiKarimi]

Thanks a lot for the info!
Awesome teaching!

[Alexander-twkw]

Thanks a lot for the explanation. If we're given a permutation, how do we find all permuations that commute with it?

[samiaurin]

Thank you so much! It helped me a lot to do my homework.

[abigailhall]

this was such a great explanation thanks loads from Manchester :)

[gustavocortico]

Is there a way to find "canonical" permutations? That is, the minimum number of functions that can be composed to give all the possible permutations on a finite set?

[Bagunka]

Great video as always! Also now you look younger than a year ago!

[wenyaoma]

It is very helpful! Thanks to your video!

[kostper]

These look so fun to solve. Great explanation btw! You saved me because my notes are horrible.

[hydose]

@10:28 actually 3 goes back to 1 based on the left cycle.