I am not sure about which theorem you are talking about, but I just found a theorem giving me the result I want in Dummit and Foote stating that if n is the order of the group and p the largest prime dividing n, then I have the result I wanted.
Prove that if p is a prime and G is a group of order p^a for some a in Z+, then every subgroup of index p is normal in G.
We know the order of H is p^(a-1). H is a maximal subgroup, if that matters.
The Attempt at a Solution
Suppose H≤G and...
In my school advanced calculus is analysis in R^n and then there is intro to analysis courses, which are analysis in metric spaces. If it is also that way in your school, you may want to take advanced calculus first and then intro to analysis, so that you will be familiar with concepts and ideas.
After speaking to professors here, and researching more about Rice, I will very probably go, but if there is anyone here attending Rice, that would be great for me to ask questions about courses.
By the way I still wonder what people think about 3 semesters of exchange but as no one replies, my...
This is my second year as a physics, math double major, and I am an international student (not in the US). For 2012 fall and 2013 spring (or maybe just fall, I don't exactly know the policies, but I know I can do it multiple times), I plan to go to UCB as an exchange student...
Solve the equation u_x+2xy^2u_y=0 with u(x,0)=\phi (x). Strauss PDE 2nd ed., chapter 1.5, exercise 6.
The question is under "Well-Posed Problems" section, so this might be about existence, uniqueness, or stability.
Fitzpatrick Advanced Calculus--edition differences
I will buy Fitzpatrick's Advanced Calculus 2nd edition, but am not sure paperback or hardcover. The reason I'm unsure is that even though we should be using the international student edition, the professor is using the...
I felt in a very similar way about philosophy when I was entering college, but the few courses I took changed my mind. The single most influential thing I learned in my philosophy of science course is that if I ever do science, then I should ignore the philosophical discussions behind it most of...
Oh, I'm sorry I didn't specify that Maxwell is Grover Maxwell, an American philosopher of science (I just noticed there is not a wikipedia entry of him). In his "the Ontological Status of Theoretical Entities," he argues against different types of empiricism, and gives a solid defense of...
don't rely on those sat's, though, as an international student. when I was applying as an international, I applied with 800's in math 1c, 2c, and physics which I got without any need for review (and I felt they were extremely easy), but things didn't go well.