The Erlangen Program is a framework for classifying geometric structures and understanding their properties based on group theory. It was proposed by the German mathematician Felix Klein in 1872 during a lecture in Erlangen, Germany. The central idea of the program is to study geometries by looking at the transformations that preserve certain properties or structures. Klein's approach emphasizes the relationship between geometry and symmetry. He classified geometries based on the groups of transformations that leave certain properties invariant.
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