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Fusion of Character Tables and Schur Rings of Dihedral Groups Fusion of Character Tables and Schur Rings of Dihedral Groups

by Nguyen, Long Pham

Abstract (Summary)
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 of Schur and Wielandt.
Bibliographical Information:

Advisor:

School:Brigham Young University

School Location:USA - Utah

Source Type:Master's Thesis

Keywords:group theory s rings fusion class algebra character table

ISBN:

Date of Publication:06/10/2008

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