Last Blog Entry! Due April 11

Which topics and theorems do you think are important out of those we have studied?

 I think Legrange's Theorem, the remainder theorem, and the first Isomorphism theorem are the most important theorems we have studied. Some of the topics I think are important are the properties of groups and how the groups and rings are isomorphic to other groups and rings.

What do you need to work on understanding better before the exam? Come up with a mathematical question you would like to see answered or a problem you would like to see worked out in class.


 I think one of the hardest things to do is finding a function to create an isomorphism between two groups or rings. One example of this is problem 15 on the homework review. Another concept I am struggling with is proving that a group is cyclic, like problem 8, 14, and 18. I would really like to go over problem 1 in class though, with An being a normal subgroup, and also problem 12 would be good since I am don't have the best understanding of automorphisms.

How do you think the things you learned in this course might be useful to you in the future?

Throughout this semester, I have realized that there are things in our every day life that we may be able to consider a group, and since we know so many things about groups now, it seems like I could understand those everyday things better, like the rubiks cube, or the equivalence classes when painting the sides of a cube (i am in combinatorics and we discussed this idea).