Group theory 6: normal subgroups and quotient groups

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This is lecture 6 of an online mathematics course on groups theory.
It defines normal subgroups and quotient groups, using the non-abelian group of order 6 as an example.
  1. Richard E Borcherds
  2. normal subgroup
  3. quotient group
  4. group theory
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Комментарии
Автор

Thanks for teaching us online! Really like your videos!!

小白兔-qd
Автор

haha ur part abt the word "normal" being everywhere was funny
awesome lecture

mohammedfarhaan
Автор

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.

AkamiChannel
Автор

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!

ivayloangelov