Translation Plane

In mathematics, a translation plane is a particular kind of projective plane, as considered as a combinatorial object.

In a projective plane, represents a point, and represents a line. A central collineation with center and axis is a collineation fixing every point on and every line through . It is called an "elation" if is on, otherwise it is called a "homology". The central collineations with centre and axis form a group.

A projective plane is called a translation plane if there exists a line such that the group of elations with axis is transitive on the affine plane Πl (the affine derivative of Π).

Read more about Translation Plane:  Relationship To Spreads

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