1872 – Erlangen Program

In 1872, Felix Klein, at the age of 23, having just been appointed as a professor at the University of Erlangen in Germany, published a manifesto that described a new direction for geometry. Klein was attempting to unify classical Euclidean geometry with the new non-Euclidean geometries and some elements of topology by showing that some groups of symmetry were maintained across projective transformations.

1829 – Non-Euclidean geometry
1831 – algebraic solutions of equations are related to groups of permutations – Galois
1849 – Klein – bio
1873 – Lie groups – Lie

Timeline of Group Theory

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