Talk:Conjugate element (field theory)

Old post
I always thought that conjugacy in a field is defined by a function f(a) mapping the field onto itself such that f(a+b) = f(a)+ f(b) and f(a*b) = f(a)*f(b).

For real numbers, the f(a) = a is the only conjugacy, for complex numbers the complex conjugate is the only conjugacy besides f(a) = a, and in a Gallios field GF(p^n) the conjagacies are formed by putting the element to a power the prime p.

This article does not seem to mention this at all Karl 14:35, 5 November 2007 (UTC).


 * If that’s what you always understood conjugacy to mean then from where did you source the definition? Just provide a reference and edit away! Tweet7 (talk) 21:23, 30 November 2021 (UTC)