3. Group Realization
Let G1 and G2 be the groups and
let their semidirect product be defined as in Definition A.1.1.
Definition A.4.1. The realization of the element g1
Î G1 (g2
Î G2, respectively)
in the semidirect product of the groups G1 and G2
is the set of all ordered pairs (g1,x) ((x,g2),
respectively) from G1×fG2.