English

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

Combinatorics 2007-05-23 v1

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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Cite

@article{arxiv.math/0503717,
  title  = {Distance Configurations of Points in a Plane with a Galois group that is not Soluble},
  author = {John C. Owen and Stephen C. Power},
  journal= {arXiv preprint arXiv:math/0503717},
  year   = {2007}
}

Comments

14 pages, 5 figures