Abstract
dc:description.abstractWe 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.
Degree
thesis:*- Name thesis:degree_name
- Master of Science in Mathematics
- Level thesis:degree_level
- Masters
- Discipline thesis:degree_discipline
- Mathematics
- Year
- 2000
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Marshall, Lucille
- Contributors dc:contributor
-
- Kishor Shah
Subjects
dc:subject × 1Rights
dc:rights- Statement dc:rights
-
- © Lucille Marshall
Identifiers
dc:identifier.*- Repository record dc:identifier
- https://bearworks.missouristate.edu/theses/854
- OAI identifier oai:identifier
- oai:bearworks.missouristate.edu:theses-1855