Abstract Algebra 9.1: Normal Subgroups

In this video, we define what it means for a subgroup to be normal in a group, and look at a few examples.

[@garyyip1001]

Studying for finals and I wish I saw your videos earlier. You explain it way better than my professor does who has me confused constantly.

[@johndavies729]

Thank you so much for all these videos, Patrick! I've been self-teaching abstract algebra for a while now and this playlist has been indispensable! AA is such a cool branch of math - at first it seems pretty mundane - you start with some basic theorems and definitions, you manipulate them a bit and produce some corollaries. But then, all of a sudden you find these glimmers of intrinsic beauty that make mathematics so special!

[@patrickjones1510]

You're very welcome. It is sad that so much of education considers math to only be a tool, when it can also be an expression of art and beauty. I'm always happy to hear from someone that realizes that.

[@tomnijssen6583]

Amazing video!

[@harrisonbennett7122]

Excellent

[@uhyunyoung]

Thank you so much🙂

[@cse080chandrasekhar9]

Sir could iu pls post videos on normal subgroups of s4 and D8

[@JR-iu8yl]

Thank you so much

[@patrickjones1510]

You're welcome. I'm glad you found it helpful.

[@lonelyburger9069]

I found my answer finally

[@hamzashah925]

Can you explain permutations multiplication in cycles plz...

[@hamzashah925]

Sir if you explain the permutations multiplication in cycles i.e (12)(123) and make a lecture on explanation of this mathod .then I,m thankful to you . Plzzz ....

[@patrickjones1510]

It has already been done! th-cam.com/video/UI-SWiyaArE/w-d-xo.html