Solving the heptic in two dimensions: Geometry and dynamics under Klein's group of order 168

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dc.creatorCrass, Scott
dc.date2006-01-16
dc.date.accessioned2026-07-07T06:58:58Z
dc.date.available2026-07-07T06:58:58Z
dc.descriptionThere 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 $H$.
dc.description28 pages, ten figures
dc.identifierhttps://arxiv.org/abs/math/0601394
dc.identifierhttp://arxiv.org/abs/math/0601394
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107577
dc.subjectDynamical Systems
dc.subject37F45; 20C30
dc.titleSolving the heptic in two dimensions: Geometry and dynamics under Klein's group of order 168
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