ABSTRACT
The theme of this chapter is the construction of automorphisms to given specifications. We begin with a generalisation of a K-automorphism, known as a K-monomorphism. For normal extensions we shall use K-monomorphisms to build up K-automorphisms. Using this technique, we can calculate the order of the Galois group of any finite normal extension, which combines with the result of Chapter 10 to give a crucial part of the fundamental theorem of Chapter 12.
