With reference to the situation in Exercise 25, describe G{K/(E n L)} in terms of G(K/ E) and G(K/L).

Data from Exercise 25

The join E v L of two extension fields E and L of F in F̅ is the smallest subfield of F̅ containing both E and L. That is, E v L is the intersection of all subfields of F̅ containing both E and L. Let K be a finite normal extension of a field F, and let E and L be extensions of F contained in K. Describe G(K/(E v L)) in terms of G(K/E) and G(K/L).

Transcribed Image Text:

E K EVL ENL F L