Complex sentence: One of the primary aims of invariance mechanics is to find these polynomial (s) and to find which symmetry group they correspond to-many believe that the permutation of the variables of these polynomial (s) will correspond to one of the special sporadic groups.
Split into simpler sentences: One of the primary aims of invariance mechanics is to find these polynomial (s) and to find which symmetry group they correspond to. Many believe that the permutation of the variables of these polynomial (s) will correspond to one of the special sporadic groups.