I think you are a devoted ,smart and a generous human being for spending this time and effort to explain this heavy subject. There is no doubt about you intelligence sir, But you are a great communicator too and know how deliver math arguments very well. Great job
I notice you titled your videos Abstract Algebra 1. Are you considering making a second series of a higher abstract algebra materials ? Or maybe number theory ? Because you are good at what you doing , I mean real good ! I may suggest putting your stuff together in a website and maybe make money out of this :)
this is immensely helpful i dont always thank people on youtube for their content but i feel the need to drop my appreciation on here anyhow since ur videos on abstract/modern algebra are my lifesaver!!
Professor Learnifyable: Thank you for having produced an excellent video on cyclic groups. I really like your step-by-step approach. As cyclic group can be a very challenging topic (depending on the examples presented), would it be possible on your next video you do a few more challenging demonstrations such as the centralizer of a group and others found in the abstract algebra books by Fraleigh or Gallian? When I first learned cyclic groups about one year ago, I had some trouble with it and it took me a few weeks to understand it. Many thanks again for being a wonderful teacher! > Benny of California, 8-29-2014
I absolutely plan on making some more videos related to cyclic groups. I want to introduce the centralizer as well as the order of an element. More to come!
Shouldn't we first prove that the subgroup generated by the element a is non-empty and then use the subgroup test? I know that the identity will be an element of that subgroup, hence the subgroup will be non-empty, but i think it should be written down.
Would love to see some example problems to cement the topic in hand. Some topics seem so abstract and it's hard to imagine what you would do on an exam but with an example problem it takes the edge off.
@learnifyable is the order of the the abstract algebra playlist meant to be in this order? should i be watching this video before watching video 40 or 42?
Yes, they are roughly in the correct order. Some instructors may choose to change the order of topics around a bit, but it shouldn't deviate too much from the order of the videos in this playlist.
