1. The most difficult part of this reading is keeping track of the left and right cosets. I already struggle with finding cosets, so now having to understand right and left cosets and be able to find them and compare them to see if they are different so that you can figure out if a subgroup is normal or do the right and left congruent principle is really confusing. I am worried that this is just going to make cosets even harder for me to understand.
2. The most interesting part of this section was that subgroups can have elements that are left congruent or right congruent mod the subgroup. This is so interesting. I have never thought about a subgroup or anything we have discussed having two different congruences - a right one and a left one. This is a nice layer added onto to the information we have already learned.
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