Difficult: I'm not quite sure what the difference is between what a normal subgroup is (Na=aN) and what it is not (na=an for all n in N).
Reflective: You're right. That theorem 7.34 is super helpful! That's a lot easier than going through and showing kind of commutativity every single time.
Tuesday, November 15, 2016
Thursday, November 10, 2016
November 11, 2016
Reflective: It's interesting that we pretty much are doing the same things over and over again.
Difficult: Which makes it more interesting that it gets weirder and harder every time we do it. I'm going to need general explaining of this one.
Difficult: Which makes it more interesting that it gets weirder and harder every time we do it. I'm going to need general explaining of this one.
Tuesday, November 8, 2016
November 9, 2016
Difficult: Can we go over coming up with factoring permutations?
Reflective: Theorem 7.47 is kind of like how numbers/polynomials can be written as products of primes/irreducibles, except for uniqueness.
Reflective: Theorem 7.47 is kind of like how numbers/polynomials can be written as products of primes/irreducibles, except for uniqueness.
Friday, November 4, 2016
November 7, 2016
Difficult: What do they mean by a symmetric group S_n?
Reflective: I think theorem 7.18 is really neat. Like that just works out way too nicely.
Reflective: I think theorem 7.18 is really neat. Like that just works out way too nicely.
Thursday, November 3, 2016
November 4, 2016
Difficult: I need help with cyclic groups/subgroups in general. More examples, more explanation.
Reflective: I love this whole "you only need to check two things to see if a ring/group is a sub-ring/group" thing.
Reflective: I love this whole "you only need to check two things to see if a ring/group is a sub-ring/group" thing.
Tuesday, November 1, 2016
November 2, 2016
Difficult: I don't really get Corollary 7.9.
Reflective: The order of element rules are quite like idempotency. Is that significant? Related?
Reflective: The order of element rules are quite like idempotency. Is that significant? Related?
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