Corpus ID: 235755298

Dependence and algebraicity over subgroups of free groups

@inproceedings{Rosenmann2021DependenceAA,
  title={Dependence and algebraicity over subgroups of free groups},
  author={A. Rosenmann and Enric Ventura Capell},
  year={2021}
}
An element g of a free group F depends on a subgroup H < F , or is algebraic over H , if it satisfies a univariate equation over H . Equivalently, when H is finitely-generated, the rank of 〈H, g〉 is at most the rank of H . We study the elements that depend on subgroups of F , the subgroups they generate and the equations that they satisfy. 

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