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Fusion Of Character Tables And Schur Rings Of Dihedral Groups, Long Pham Bao Nguyen
Fusion Of Character Tables And Schur Rings Of Dihedral Groups, Long Pham Bao Nguyen
Theses and Dissertations
A finite group H is said to fuse to a finite group G if the class algebra of G is isomorphic to an S-ring over H which is a subalgebra of the class algebra of H. We will also say that G fuses from H. In this case, the classes and characters of H can fuse to give the character table of G. We investigate the case where H is the dihedral group. In many cases, G can be completely determined. In general, G can be proven to have many interesting properties. The theory is developed in terms of S-ring …