Recent content by algekkk

  1. A

    Proving Rudin Theorem 7.17: Real Analysis

    i am asked to prove the remark Rudin made in theorem 7.17 in his Mathematical Analysis. Suppose {fn} is a sequence of functions, differentiable on [a,b] such that {fn(x0)} converges for some x0 in [a,b]. Assume f'n (derivative of fn) is continuous for every n. Show if {f'n} converges...
  2. A

    Graduate Showing Gal(E/Q) is Isomorphic to Z4

    Ok, thanks for the help. I have this one solved. All I need to do is to show the Galois group are cyclic.
  3. A

    Graduate Showing Gal(E/Q) is Isomorphic to Z4

    Z4 is {0,1,2,3} I can tell that their orders are all four. Just not sure about what's the rest needed to show isomorphic.
  4. A

    Graduate Showing Gal(E/Q) is Isomorphic to Z4

    Anybody can help me show that Gal(E/Q) is isomorphic to Z4? E is the splitting field for X^5-1 over Q. Thanks.