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Computing automorphism groups of projective planes

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Date Issued:
2013
Summary:
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.
Title: Computing automorphism groups of projective planes.
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Name(s): Adamski, Jesse Victor, author
Magliveras, Spyros S., Thesis advisor
Charles E. Schmidt College of Science, Degree grantor
Department of Mathematical Sciences
Type of Resource: text
Genre: Electronic Thesis Or Dissertation
Issuance: single unit
Date Created: Fall 2013
Date Issued: 2013
Publisher: Florida Atlantic University
Physical Form: Online Resource
Extent: 50 p.
Language(s): English
Summary: 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.
Identifier: FA0004000 (IID)
Note(s): Includes bibliography.
Thesis (M.S.)--Florida Atlantic University, 2013.
Subject(s): Combinatorial group theory
Finite geometrics
Geometry, Projective
Held by: Florida Atlantic University Digital Library
Sublocation: Boca Raton, Fla.
Persistent Link to This Record: http://purl.flvc.org/fau/fd/FA0004000
Restrictions on Access: All rights reserved by the source institution
Restrictions on Access: http://rightsstatements.org/vocab/InC/1.0/
Owner Institution: FAU