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Computing automorphism groups of projective planes
| Title: | Computing automorphism groups of projective planes. |
 149 views 27 downloads |
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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 |
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| 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. |
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| Subject(s): |
Combinatorial group theory Finite geometrics Geometry, Projective |
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| 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/ | |
| Host Institution: | FAU |
