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Distance Configurations of Points in a Plane with a Galois group that is not Soluble

John C. Owen·Stephen C. Power
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Abstract

We have conjectured that the constraint equations defined by a generic Laman graph are not soluble by radicals when the graph is 3-connected. We prove that this conjecture follows from the following simpler conjecture: the constraint equations defined by a generic Laman graph are not soluble by radicals if the graph does not contain a proper subgraph which is itself a Laman graph.

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John C. Owen, Stephen C. Power. 2005-03-30. Distance Configurations of Points in a Plane with a Galois group that is not Soluble. https://arxiv.org/abs/math/0503717

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