Question: Apply the algorithm in the exercise below to the set g = { ( 1 2 3 ) , ( 2 3 4 ) }

Apply the algorithm in the exercise below to the set
g ={(123),(234)}.
List the values of h and G at each stage.
8. Prove that the following algorithm terminates with G the permutation group
generated by g (cf.[3], exercise 3.3.13).
a) Set G ={(1)} and h ={(1)}.
b) Set h = hg \ G .
c) If h =, stop.
d) Set G = G \cup h and go to step (b).

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