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Abstract hyperovals, partial geometries, and transitive hyperovals
Abstract
dc:description.abstractA hyperoval is a (q+2)- arc of a projective plane π, of order q with q even. Let G denote the collineation group of π containing a hyperoval Ω. We say that Ω is transitive if for any pair of points x, y is an element of Ω, there exists a g is an element of G fixing Ω setwise such that xg = y. In1987, Billotti and Korchmaros proved that if 4
Degree
thesis:*- Name thesis:degree_name
- Doctor of Philosophy (Ph.D.)
- Level thesis:degree_level
- Doctoral
- Discipline thesis:degree_discipline
- Mathematics
- Grantor dc:publisher
- Colorado State University. Libraries
- Year dc:date.issued
- 2015
Author and committee
dc:creator, dc:contributor.*- Authors dc:creator
-
- Cooper, Benjamin C., author
- Penttila, Timothy, advisor
- Bohm, Wim, committee member
- Cavalieri, Renzo, committee member
- Duflot, Jeanne, committee member
Subjects
dc:subject × 2Rights
dc:rights- Statement dc:rights
-
- Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.
- Language dc:language.iso
- eng, English
Identifiers
dc:identifier.*- Identifier URI
- https://doi.org/10.25675/3.018898
- OAI identifier oai:identifier
- oai:mountainscholar.org:10217/167107