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- W3180656246 abstract "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 $gen{H,g}$ 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." @default.
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- W3180656246 date "2021-07-07" @default.
- W3180656246 modified "2023-10-01" @default.
- W3180656246 title "Dependence and algebraicity over subgroups of free groups." @default.
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