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Brigham Young University - Provo
PSL(2,7)-Extensions with Certain Ramification at Two Primes
Abstract
dc:description.abstractWe conduct a parallel Hunter search in order to find a degree 7 number field K ramified at primes q and p with discriminant d(K)=q^6 p^2 where q=11 and 2<p<104. The number field we seek will satisfy certain criteria allowing for refinement of a conjecture of Ash, Doud, and Pollack. In the course of our search we prove that the smallest p for which such an example occurs is p=31 and that the next possible example occurs at p=103.
Degree
thesis:*- Name thesis:degree_name
- MS
- Grantor dc:publisher
- Brigham Young University - Provo
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Simpson, Glen E.
Subjects
dc:subject × 4Rights
- Language dc:language
- English
Identifiers
dc:identifier.*- Repository record dc:identifier
- https://scholarsarchive.byu.edu/etd/162
- OAI identifier oai:identifier
- oai:scholarsarchive.byu.edu:etd-1161