This is a small, experimental collection of pages on incidence geometry, based on the lecture series Geometrie I given at the Christian Albrechts Universität Kiel. The intended audience are people trying to get an overview of some of the basic definitions and results in incidence geometry. These page are really very far from being complete, in fact I just started to write this collection. Note that some of the pages contain links to other pages not already written, so your browser will show you some kind of error message. These missing pages will be included, eventually.

Primary entry points are the page on general incidence structures or the page on projective planes.

All files in this site are tested with netscape only. If you have
any problems using another browser,
please drop me a line.
I don't know much about all this **HTML** stuff, so
proposals are always welcome. If you don't like some of the stuff
on this site, or if you wrote an additional page which should really be
included on this site, just
mail me. The tools used to create the pages on this site
are documented, and are
freely available.

- Affine derivative
- Affine planes
- Alternative fields
- Baer subplanes
- Bruck Ryser
- Cartesian groups
- Central and axial collineations in an affine plane
- Coordinate plane
- Coordinatizing an affine plane
- Coordinatizing projective planes
- Desargues
- Designs
- Double Loops
- Dual incidence structures
- Dualities and polarities
- Duality principle
- Fano axiom
- Finite affine planes
- Finite projective planes
- Flats of a linear space
- Groups of central-axial collineations
- Homologies and elations of P(K,T)
- Homologies and elations
- Incidence matrices
- Incidence structures
- Involutions
- Isomorphisms of linear spaces
- Isomorphisms of partial linear spaces
- Isomorphisms of projective planes
- Isomorphisms
- Linear spaces
- Loops
- Moufang planes
- Nearfields
- Octonions
- Parallelisms
- Partial linear spaces
- Projective closure
- Projective planes
- Quasifields
- Semifield planes
- Semifields
- Semilinear maps
- Sharply 2-transitive groups
- Spreads
- Spreadsets
- Steiner systems
- Steiner triple systems
- Subplanes of P(K,T)
- Subplanes of PG(V)
- Subplanes of finite projective planes
- Substructures
- Symmetric designs
- Ternary fields
- The Cayley-Dickson process
- The Lenz classification
- The Lenz-Barlotti classification
- The affine plane over a vector space
- The fundamental theorem of affine geometry
- The fundamental theorem of projective geometry
- The projective plane over a vector space
- The small affine planes
- The small linear spaces
- The small projective planes
- The translation plane of order nine
- Translation planes

Version: $Id: geometry.html,v 1.6 2002/11/22 15:46:00 hk Exp $