I have been to 5 math talk this semester and i have loved each of the talk given by them.
1. Dr.Joy Lind
2. Dr.Lauritz Peterson
3. Dr. Stephen Black
4. Dr. Darren Doud
5. Dr. Murty.
Wednesday, December 9, 2009
Exam Review
- i think the theorems in the review sheet are very important and should know how to apply them in our proofs. The definitions are important too. the second section in review sheet will help me a lot for the final exam. can we go over part 12 and 13 of the 2 section of the review sheet.
Monday, December 7, 2009
Sec 8.5, 12/7/09
- i have a question, can the product of order of the elements of finite abelian group be 2^2009?
-it is interesting to know that if P is prime and n>1 there is no simple group of order P^n, which is also a corollary 8.28 in the book. and the proof is very simple.
-it is interesting to know that if P is prime and n>1 there is no simple group of order P^n, which is also a corollary 8.28 in the book. and the proof is very simple.
Friday, December 4, 2009
Sec 8.4, 12/4/09
-It is interesting to know that Conjugacy is an equivalence relation on group G. This is actually a theorem 8.19 in the book, and the proof is fairly easy.
- i am having hard time understanding the proof of first and second Sylow theorem. can we go over that in class.
- i am having hard time understanding the proof of first and second Sylow theorem. can we go over that in class.
Wednesday, December 2, 2009
Sec 8.3, 12/2/09
-it is interesting to know that Sylow Theorem is used to show the group is not simple and can also allow us to classify certain finite groups.
-i did not understand the Second Sylow theorem, and how they apply corollary 8.16 to say that the group is normal to the following examples in page 264.
-i did not understand the Second Sylow theorem, and how they apply corollary 8.16 to say that the group is normal to the following examples in page 264.
Monday, November 30, 2009
Sec 8.2, 11/30/09
- It is interesting to know that all finite abelian group is a direct sum of cyclic subgroups and the orders of these cyclic subgroups are uniquely determined by the group.
- The Proof for Fundamental theorem of finite Abelian groups is little confusing, i did not understand the invariant factors, why it is two numbers in some cases and it is just one number as shown in one of the example in page 258 of the text book.
- The Proof for Fundamental theorem of finite Abelian groups is little confusing, i did not understand the invariant factors, why it is two numbers in some cases and it is just one number as shown in one of the example in page 258 of the text book.
Tuesday, November 17, 2009
exam preparation, 11/17/09
- For better understanding before the exam one should know all the definitions and the theorems in each section of the chapters.
-can you go over the proof of third Isomorphism theorem for groups?
-can you go over the proof of third Isomorphism theorem for groups?
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