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Virginia Polytechnic Institute and State University
Quadratic forms over fields of characteristic 2
Abstract
dc:description.abstractThis thesis is concerned with the study of quadratic forms over fields of characteristic 2. First, we consider the extension of quadratic forms to fields of characteristic ≠ 2. Then we make the adjustments necessary to make the characteristic 2 case non-trivial, and investigate the structure of quadratic spaces. We define equivalence of quadratic forms and investigate a set of invariants. We develop a set of necessary and sufficient conditions for equivalence and give a characterization of non-equivalent forms over certain finite fields.
Degree
thesis:*- Name thesis:degree_name
- Master of Science
- Level thesis:degree_level
- masters
- Discipline thesis:degree_discipline
- Mathematics
- Department dc:contributor.department
- Mathematics
- Grantor dc:publisher
- Virginia Polytechnic Institute and State University
- Year dc:date.issued
- 1973
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Gosnell, Lawrence Ervin
Rights
dc:rights- Statement dc:rights
-
- In Copyright
- Licence dc:rights.uri
- Language dc:language.iso
- en
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- http://hdl.handle.net/10919/65034
- OAI identifier oai:identifier
- oai:vtechworks.lib.vt.edu:10919/65034