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• W1489233690 abstract "We develop a new method to investigate groups acting on rooted trees. Considering the set of continuous functions from the automorphism group $operatorname{Aut}X^*$ of a regular rooted tree to a finite field, we associate to each subgroup $Gleqoperatorname{Aut}X^*$ the ideal of functions which vanish on $G$. Our approach yields many new results for discrete groups as well as for closed subgroups of $operatorname{Aut}X^*$ and some specific subgroups thereof. We exemplify the fruitfulness of this simple idea in many ways, including central series, automorphism towers, Hausdorff dimension, congruence problems, and a functorial construction of Lie algebras via affine group schemes." @default.
• W1489233690 created "2016-06-24" @default.
• W1489233690 creator A5029515928 @default.
• W1489233690 date "2022-02-20" @default.
• W1489233690 modified "2023-10-14" @default.
• W1489233690 title "Discrete and Profinite Groups Acting on Regular Rooted Trees" @default.
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• W1489233690 doi "https://doi.org/10.53846/goediss-3487" @default.
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