Geometry Projective geometry and linear incidence geometry Concept
Moufang plane
Summary
A Moufang plane is a projective plane in which the little Desargues theorem holds. This is the special case of Desargues's theorem where the centre of perspective lies on the axis. Equivalently, every line is a translation line: the plane has as many elations with that axis as possible. Moufang planes are exactly the planes coordinatized by alternative division rings. Every Desarguesian plane is a Moufang plane, and the octonionic projective plane is a Moufang plane that is not Desarguesian.
Further reading
About this page
| Tag | 7F4HSNJJH8 |
|---|---|
| URI | m2://7F4HSNJJH8 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 51A35, 17D05 |
| Specializes | Projective plane |
| Same as |
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