The main objective of this thesis was to find the full automorphism groups of
finite Desarguesian planes. A set of homologies were used to generate the automorphism
group when the order of the plane was prime. When the order was a prime
power Pa,a ≠ 1 the Frobenius automorphism was added to the set of homologies,
and then the full automorphism group was generated. The Frobenius automorphism
was found by using the planar ternary ring derived from a coordinatization of the
plane. / Includes bibliography. / Thesis (M.S.)--Florida Atlantic University, 2013.
| Identifer | oai:union.ndltd.org:fau.edu/oai:fau.digital.flvc.org:fau_13045 |
| Contributors | Adamski, Jesse Victor (author), Magliveras, Spyros S. (Thesis advisor), Charles E. Schmidt College of Science (Degree grantor), Department of Mathematical Sciences |
| Publisher | Florida Atlantic University |
| Source Sets | Florida Atlantic University |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation, Text |
| Format | 50 p., Online Resource |
| Rights | All rights reserved by the source institution, http://rightsstatements.org/vocab/InC/1.0/ |
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