Catherine Anne Baker

Finite Geometries (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book is a compilation of the papers presented at the conference in Winnipeg on the subject of finite geometry in 1984. It covers different fields in finite geometry: classical finite geometry, the geometry of finite planes, geometric structures and the theory of translation planes.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 400
• Erscheinungstermin: 14. Oktober 2020
• Englisch
• ISBN-13: 9781000103250
• Artikelnr.: 60395156

Autorenporträt

Catherine Anne Baker

Inhaltsangabe

1. A Brief Summary of the Geometry of Sets 2. Sets of Type (1, k, k + 1) in
Projective Planes of Order n 3. Embedding Finite Planar Spaces in
Projective Spaces 4. The Locally Icosahedral Graphs 5. Locally Polyhedral
Graphs 6. Four Lectures on Projective Geometry 7. Harmonic Ovals of Even
Order 8. Exterior Sets with Respect to the Hyperbolic Quadric in PG(2n - 1,
q) 9. Finite 2-Homogeneous Linear Spaces 10. A Generalized Modification of
the Von Staudt Theory of Imaginary Elements 11. Linear Spaces and Groups
12. Maximal (k + 1)-Cliques, That Carry Maximal k-Cliques 13. Spreads
Obtained from Ovoidal Fibrations 14. Two New Sporadic Doubly Transitive
Linear Spaces 15. A Class of Rank (3,2)-Planes 16. Near-Field-Like Planes
17. Translation Planes of Order n Which Admit a Collineation Group of Order
n 18. Compatibility of Baer and Elation Groups in Translation Planes 19.
Sporadic Simple Groups Acting on Finite Translation Planes 20.
Flag-Transitive Planes 21. Generating Sets in Finite Projective Planes 22.
A Search for a Non-Desarguesian Plane of Prime Order 23. Configuration
Theorems on Cubic Quasigroups 24. Some Remarks on Covers and Apartments 25.
Hyperovals and Generalized Quadrangles 26. A Characterization of the Set of
Lines Either Tangent to or Lying on a Nonsingular Quadric in PG(4,q), q Odd
27. Extensions of Regular Complexes 28. On Sets of given Type in a Steiner
System 29. The k-Sets of PG(r,q) from the Character Point of View 30.
Circle Geometries and Generalized Quadrangles 31. The Projective Geometry
of Rigid Frameworks