Cover Image

Arboreal Galois representations of rational functions: fixed-point proportion and the extension problem

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Fariña-Asategui, Jorge
Format:	Preprint
Published:	2026
Subjects:	Number Theory Group Theory Primary: 37P05, 20E08, Secondary: 60G42, 11S20
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Fixed-point proportion of geometric iterated Galois groups
by: Fariña-Asategui, Jorge, et al.
Published: (2026)

Arboreal representations of linear groups
by: Fariña-Asategui, Jorge
Published: (2025)

Cyclicity, hypercyclicity and randomness in self-similar groups
by: Fariña-Asategui, Jorge
Published: (2024)

Markov processes associated to fractal branch groups
by: Fariña-Asategui, Jorge
Published: (2025)

On a question of Abért and Virág
by: Fariña-Asategui, Jorge
Published: (2025)

An algorithm to compute the Hausdorff dimension of regular branch groups
by: Fariña-Asategui, Jorge
Published: (2025)

Virtual retracts in groups acting on rooted trees
by: Fariña-Asategui, Jorge, et al.
Published: (2026)

Random subgroups of branch groups
by: Fariña-Asategui, Jorge, et al.
Published: (2025)

Non-closed subgroups of weakly branch groups
by: Fariña-Asategui, Jorge, et al.
Published: (2025)

Weakly branch actions: first-order theory, rigidity and Boston's conjecture
by: Fariña-Asategui, Jorge
Published: (2025)

Semiconjugacy and Self-Similar Subgroups of pfIMGs
by: Adams, Ophelia
Published: (2025)

Lifting subgroups of $\mathrm{PSL}_2$ to $\mathrm{SL}_2$ over local fields
by: Andrew, Naomi, et al.
Published: (2024)

Monotone parameters on Cayley graphs of finitely generated groups
by: Kassabov, Martin, et al.
Published: (2024)

Restricted Hausdorff spectra of $q$-adic automorphisms
by: Fariña-Asategui, Jorge
Published: (2023)

Branch actions and the structure lattice
by: Fariña-Asategui, Jorge, et al.
Published: (2024)

On finitely generated Hausdorff spectra of groups acting on rooted trees
by: Fariña-Asategui, Jorge, et al.
Published: (2025)

Locally moving groups and laminar actions on the line
by: Brum, Joaquín, et al.
Published: (2021)

A Tits alternative for $\mathbb{R}$-buildings of type $\tilde{A}_2$
by: Bars, Corentin Le, et al.
Published: (2024)

On the structure of finitely generated subgroups of branch groups
by: Francoeur, Dominik, et al.
Published: (2024)

Edge zeta function and closed cycles in the standard non-uniform complex from $\operatorname{PGL}_3$
by: Hong, Soonki, et al.
Published: (2024)

A Dynamical Néron--Ogg--Shafarevich Criterion via Orbital Arboreal Representations
by: Pérez-Buendía, J. Rogelio
Published: (2025)

RGD-systems of type $(4, 4, 4)$ over $\mathbb{F}_2$ and tree products
by: Bischof, Sebastian
Published: (2025)

On the Farrell--Tate $K$-theory of $\text{Out}(F_n)$
by: Andrew, Naomi, et al.
Published: (2025)

A note on adjoint reality in simple complex Lie algebras
by: Gongopadhyay, Krishnendu, et al.
Published: (2024)

Reality of Unipotent elements in Classical Lie Groups
by: Gongopadhyay, Krishnendu, et al.
Published: (2021)

On the conjugacy separability of ordinary and generalized Baumslag-Solitar groups
by: Sokolov, E. V.
Published: (2024)

Centralisers of linear growth automorphisms of free groups
by: Andrew, Naomi, et al.
Published: (2022)

On prime endomorphisms of the free group of rank two
by: Thom, Andreas
Published: (2026)

Translation length formula for two-generated groups acting on trees
by: Orzechowski, Kamil
Published: (2025)

Random groups are not n-cubulated
by: Munro, Zachary
Published: (2024)

The derived series of GGS-groups
by: Petschick, Jan Moritz
Published: (2022)

The Hausdorff dimension of the generalized Brunner-Sidki-Vieira Groups
by: Fariña-Asategui, Jorge, et al.
Published: (2024)

Topological Full Groups of Irreducible Edge Shifts have Solvable Conjugacy Problem
by: Tarocchi, Matteo
Published: (2025)

Dynamics of primitive elements under group actions
by: Mishra, Pratyush
Published: (2024)

Uncountably many $2$-spherical groups of Kac-Moody type of rank $3$ over $\mathbb{F}_2$
by: Bischof, Sebastian
Published: (2025)

Group pairs, coherence and Farrell--Jones Conjecture for $K_0$
by: Jaikin-Zapirain, Andrei, et al.
Published: (2025)

On the coherence of one-relator groups and their group algebras
by: Jaikin-Zapirain, Andrei, et al.
Published: (2023)

Separability properties of higher-rank GBS groups
by: Zearra, Jone Lopez de Gamiz, et al.
Published: (2023)

Maximal subgroups in torsion branch groups
by: Garciarena, Mikel Eguzki, et al.
Published: (2024)

Dynatomic Galois groups for a family of quadratic rational maps
by: Krumm, David, et al.
Published: (2023)