Solving the Heptic in Two Dimensions: Geometry and Dynamics under Klein’s Group of Order 168 Scott Crass
نویسنده
چکیده
There is a family of seventh-degree polynomials H whose members possess the symmetries of a simple group of order 168. This group has an elegant action on the complex projective plane. Developing some of the action’s rich algebraic and geometric properties rewards us with a special map that also realizes the 168-fold symmetry. The map’s dynamics provides the main tool in an algorithm that solves “heptic” equations in H .
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