In this project, we find the number of squares in the Galois ring (GR(pn, r) where p is a prime number and n,r ∈ N. Moreover, we apply this to obtain the number of squares in the quotient rings of the ring of Gaussian integers.
Description:
In Partial Fulfillment for the Degree of Bachelor of Science in Mathematics, Faculty of Science Chulalongkorn University Academic Year 2018