Generalized Polygons

1. Front Matter

   Pages i-xv

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2. Basic Concepts and Results

   • Hendrik Van Maldeghem

   Pages 1-47

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3. Classical Polygons

   • Hendrik Van Maldeghem

   Pages 49-86

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4. Coordinatization and Further Examples

   • Hendrik Van Maldeghem

   Pages 87-134

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5. Homomorphisms and Automorphism Groups

   • Hendrik Van Maldeghem

   Pages 135-171

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6. The Moufang Condition

   • Hendrik Van Maldeghem

   Pages 173-238

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7. Characterizations

   • Hendrik Van Maldeghem

   Pages 239-303

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8. Ovoids, Spreads and Self-Dual Polygons

   • Hendrik Van Maldeghem

   Pages 305-359

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9. Projectivities and Projective Embeddings

   • Hendrik Van Maldeghem

   Pages 361-405

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10. Topological Polygons

    • Hendrik Van Maldeghem

    Pages 407-425

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11. Back Matter

    Pages 427-502

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Generalized Polygons is the first book to cover, in a coherent manner, the theory of polygons from scratch. In particular, it fills elementary gaps in the literature and gives an up-to-date account of current research in this area, including most proofs, which are often unified and streamlined in comparison to the versions generally known. Generalized Polygons will be welcomed both by the student seeking an introduction to the subject as well as the researcher who will value the work as a reference. In particular, it will be of great value for specialists working in the field of generalized polygons (which are, incidentally, the rank 2 Tits-buildings) or in fields directly related to Tits-buildings, incidence geometry and finite geometry. The approach taken in the book is of geometric nature, but algebraic results are included and proven (in a geometric way!). A noteworthy feature is that the book unifies and generalizes notions, definitions and results that exist for quadrangles, hexagons, octagons - in the literature very often considered separately - to polygons. Many alternative viewpoints given in the book heighten the sense of beauty of the subject and help to provide further insight into the matter.​

• DEX
• Eigenvalue
• Finite
• Morphism
• algebra
• automorphism
• boundary element method
• diagrams
• eXist
• field
• finite geometry
• geometry
• homomorphism
• proof
• theorem

• , Department of Mathematics, Ghent University, Gent, Belgium

  Hendrik Van Maldeghem

Hendrik Van Maldeghem is a Professor of Mathematics at the Ghent University.

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