(Abstract Algebra 1) The Symmetric Group

This videos defines the symmetric group and discusses the relationship of the symmetric group to the symmetries of an equilateral triangle and the symmetries of a square.

[kaifalcone]

I spent weeks confused on this in my college Abstract Algebra class. This video really helped clear things up!

[randomperson]

For those who are wondering why D_4 isn't the same thing as S_4: some permutations in S_4 are impossible to be reached just by applying the D_4 permutations.

In the case of D_3 and S_3, all D_3 symmetries also belong to S_3.

(Sorry for the bad English)

[davidm]

Thanks! Really helped me out since I missed earlier lectures on the topic.

[simonwang]

This is really helpful! I love your voice also!!!

[pokemonzr]

We're on week 8 of modern algebra and I didn't understand symmetric groups until now. Cool.

[havock]

Please do a video on Quotient Groups! and First Homomorphism Theorem!

[jenniferkim]

Could you make a video about group isomorphism and homomorphism

[seemarekhasahoo]

Could you creat a video about theorems of disjoint cycle

[nehachowdhary]

hlo sir. can u make videos on mechanics of masters class in mathematics?

[ashishKjr]

Will there be Abstract Algebra 2 playlist?

[rajeevmenakath]

Could you make a video about group isomorphism and homomorphism