I'm currently working through a text titled 'Introductory Algebraic Number Theory' by Saban Alaca and Kenneth S. Williams, and I'm having trouble with some of the practise exercises throughout the text.
The first problem I've been trying to figure out is the following:
Consider the integral domain A = Z + Z((1 + sqrt(m))/2) where m = 1(mod4) and is less than -3
Prove that the set of units U(Z +Z((1 + sqrt(m)/2)= (+1, -1).
Can anyone help me out with this?