Recent content by ae1709

Hi, I'm really struggling to find examples (with proofs) of the following: 1) For each n>2 give an example of a non-normal extension of Q of degree n. 2) Give examples of normal extensions of Q of degrees 3,4 and 5. 3) Show that for any positive integer n, there exists a normal...

Let \begin{equation} {F}\subseteq{K_i}\subseteq{E} \end{equation} for i = 1,...,r with E a finite extension of F and where the intermediate fields \begin{equation} K_i \end{equation}are each normal extensions of F for all i. Define: \begin{equation} L = \{f(a_1,...,a_r) ...

Hi. I need to: prove the group (Zp*,x) has exactly one element of order 2. Here, p is prime and (Zp*,x) is the set {1, 2,..., p-1} under multiplication modulo p. Any help would be much appreciated!