Thesis Title

On Proofs of Sylow's Theorem

Date of Graduation

Summer 2000

Degree

Master of Science in Mathematics

Department

Mathematics

Committee Chair

Kishor Shah

Subject Categories

Mathematics

Abstract

We give five proofs of Sylow's Theorem. The proofs given will be Sylow's original proof, the Cauchy-Frobenius proof using double cosets, Frobenius' proof (two versions) using the class equation, and Wielandt's proof using subsets. We give a number of different examples to illustrate the various proofs. We put Sylow's work in historical context. We give an application of Sylow's Theorem in the proof of the Fundamental Theorem of Algebra. We give a determination of conjugacy classes in the Dihedral group. We conclude with a sketch of Sylow.

Copyright

© Lucille Marshall

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Dissertation/Thesis

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