Abstract
Let p be an odd prime number, and a be an integer divisible by p exactly once. We prove that the Galois group G of the trinomial X^{p^{2}}+aX+a over the field Q of rational number is either the full symmetric group S_{p^{2}} or G lies between AGL(1,p^{2}) and AGL(2,p)$. Furthermore, we establish conditions when G is S_{p^{2}}.
Full Text
Sign-in/Register to access full text options
Published version (Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have