Let be an algebraic extension of a field , and let be algebraic over . Then is the root of a minimal polynomial . Denote the other roots of in by , . These (along with itself) are the algebraic conjugates of and any two are said to be algebraically conjugate.
The notion of algebraic conjugacy is a special case of group conjugacy in the case where the group in question is the Galois group of the above minimal polynomial, viewed as acting on the roots of said polynomial.
|Date of creation||2013-03-22 13:58:39|
|Last modified on||2013-03-22 13:58:39|
|Last modified by||mathcam (2727)|