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
Famous quotes containing the words translation and/or plane:
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—Bible: New Testament, 1 Corinthians 7:9.
King James translation reads, “It is better to marry than to burn.”
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—Dalton Trumbo (1905–1976)