Rule 1Disjoint transpositions commute. That is, for a,b,c,d distinct, (cd)(ab) = (ab)(cd). Rule 2 For a,b,c distinct, (cb)(ab) = (ac)(cb). Rule 3 For...

Rule 1Disjoint transpositions commute. That is, for a,b,c,d distinct, (cd)(ab) = (ab)(cd).

Rule 2 For a,b,c distinct, (cb)(ab) = (ac)(cb).

Rule 3 For a,b,c distinct, (ab)(ac) = (ac)(cb).

Question 3:

Verify each of the 3 computation rules.