Have you done any multiplication/Cayley tables? I feel like if someone is at the level where they don't know what a quotient group is, many of your explanations such as that of the order 6 group is way too fast. People who are new to this stuff will need many examples.
Thank you very much for uploading the whole lecture series! I have a question that I hope someone can answer: I do not quite understand the argument with the sequence 1-> H -> G -> G/H -> 1 starting around 4:20 ... first of all, what does this sequence stand for? And also, how do you infer that G/H can only be the set of left cosets of H? Thanks in advance!
Thanks for teaching us online! Really like your videos!!
haha ur part abt the word "normal" being everywhere was funny
awesome lecture
Have you done any multiplication/Cayley tables? I feel like if someone is at the level where they don't know what a quotient group is, many of your explanations such as that of the order 6 group is way too fast. People who are new to this stuff will need many examples.
I agree, I think these lectures are ideal for a refreshing view in group theory, given that you are already somewhat familiar with the subject
Thanks for these.
G, thanks for another great lecture!
Thank you very much for uploading the whole lecture series!
I have a question that I hope someone can answer: I do not quite understand the argument with the sequence 1-> H -> G -> G/H -> 1 starting around 4:20 ... first of all, what does this sequence stand for? And also, how do you infer that G/H can only be the set of left cosets of H?
Thanks in advance!
This is called an exact sequence and was explaned in the previous lecture, around the halfway point