What is moufang plane?

Moufang Plane

In mathematics, a Moufang plane, named for Ruth Moufang, is a type of projective plane, characterised by the property that the group of automorphisms fixing all points of any given line acts transitively on the points not on the line. In other words, symmetries fixing a line allow all the other points to be treated as the same, geometrically. Every Desarguesian plane is a Moufang plane, and (as a consequence of the Artin–Zorn theorem) every finite Moufang plane is Desarguesian, but some infinite Moufang planes are non-Desarguesian planes.

Read more about Moufang Plane.

Some articles on moufang plane:

Moufang Plane
... In mathematics, a Moufang plane, named for Ruth Moufang, is a type of projective plane, characterised by the property that the group of automorphisms fixing all ... Every Desarguesian plane is a Moufang plane, and (as a consequence of the Artin–Zorn theorem) every finite Moufang plane is Desarguesian, but some infinite Moufang planes are non-Desargu ... The projective plane over any alternative division ring is a Moufang plane, and this gives a 11 correspondence between isomorphism classes of alternative division rings and Moufang planes ...

Famous quotes containing the word plane:

    As for the dispute about solitude and society, any comparison is impertinent. It is an idling down on the plane at the base of a mountain, instead of climbing steadily to its top.
    Henry David Thoreau (1817–1862)