Abstract Algebra: Let G be a finite group of order 12. Using Sylow Theory, we consider the isomorphism types of G when n_3 = 1 and n_1. In this case, G is isomorphic to either D_12, the symmetry group of a regular hexagon, or a nontrivial semidirect product of Z/3 and Z/4.
Tagged under: Mathematics,abstract,algebra,group,theory,Sylow,theorem,conjugation,automorphism,hexagon,dihedral,isomorphism,semidirect,rpoduct
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