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Computing automorphism groups of projective planes

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.

Identiferoai:union.ndltd.org:fau.edu/oai:fau.digital.flvc.org:fau_13045
ContributorsAdamski, Jesse Victor (author), Magliveras, Spyros S. (Thesis advisor), Charles E. Schmidt College of Science (Degree grantor), Department of Mathematical Sciences
PublisherFlorida Atlantic University
Source SetsFlorida Atlantic University
LanguageEnglish
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation, Text
Format50 p., Online Resource
RightsAll rights reserved by the source institution, http://rightsstatements.org/vocab/InC/1.0/

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