-LIST OF ALGORITHMS-1) Fi U Li Ui2) Ri Di R D3) U R Ui Ri Ui Fi U F4) Ui Li U L U F Ui Fi5) F R U Ri Ui Fi6) R U Ri U R U U Ri7) U R Ui Li U Ri Ui L8) Ri Di ...
No account of the symmetric group can be complete without mentioning the remarkable fact that the symmetric group of degree n (finite or infinite) has an outer automorphism if and only if n=6. Here are the definitions. An automorphism of a group G is a permutation p of the group which preserves products, that is,…