Date of Award
2013
Document Type
Thesis
Publication Status
Version of Record
Submission Date
October 2026
Thesis/Dissertation Advisor [Chair]
Magliveras, Spyros S.
Abstract
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.
Extent
50 p.
Recommended Citation
Adamski, Jesse Victor, "Computing automorphism groups of projective planes" (2013). Electronic Theses and Dissertations 2010 - 2019. 719.
https://digitalcommons.fau.edu/etd_general_6/719
Identifier
FA0004000
Comments
Includes bibliography.|Thesis (M.S.)--Florida Atlantic University, 2013.|Includes bibliography.