Unimodular Groups
The unimodular set of GI(p), denoted by G1, is the set of elements ζ = (a + jb) ∈ GI(p), such that a2 + b2 1 (mod p).
To determine the elements of the unimodular group it helps to observe that if ζ = a + jb is one such element, then so is every element in the set ζ = {b + ja, (p − a) + jb, b + j(p − a), a +j(p − b), (p − b) + ja, (p − a) + j(p − b), (p − b) + j(p − a)}.
Read more about this topic: Trigonometry In Galois Fields
Famous quotes containing the word groups:
“... until both employers’ and workers’ groups assume responsibility for chastising their own recalcitrant children, they can vainly bay the moon about “ignorant” and “unfair” public criticism. Moreover, their failure to impose voluntarily upon their own groups codes of decency and honor will result in more and more necessity for government control.”
—Mary Barnett Gilson (1877–?)