Results 51 to 60 of about 435 (132)
Groups with exotic finiteness properties from complex Morse theory
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract Recent constructions have shown that interesting behaviours can be observed in the finiteness properties of Kähler groups and their subgroups. In this work, we push this further and exhibit, for each integer k$k$, new hyperbolic groups admitting surjective homomorphisms to Z${\mathbb {Z}}$ and to Z2${\mathbb {Z}}^{2}$, whose kernel is of type ...
Claudio Llosa Isenrich, Pierre Py
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(Non‐)existence of Cannon–Thurston maps for Morse boundaries
Bulletin of the London Mathematical Society, Volume 57, Issue 2, Page 463-471, February 2025.Abstract We show that the Morse boundary exhibits interesting examples of both the existence and non‐existence of Cannon–Thurston maps for normal subgroups, in contrast with the hyperbolic case.
Ruth Charney +4 more
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Asymptotic dimension for covers with controlled growth
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract We prove various obstructions to the existence of regular maps (or coarse embeddings) between commonly studied spaces. For instance, there is no regular map (or coarse embedding) Hn→Hn−1×Y$\mathbb {H}^n\rightarrow \mathbb {H}^{n-1}\times Y$ for n⩾3$n\geqslant 3$, or (T3)n→(T3)n−1×Y$(T_3)^n \rightarrow (T_3)^{n-1}\times Y$ whenever Y$Y$ is a ...
David Hume +2 more
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CAT(0) and cubulated Shephard groups
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract Shephard groups are common generalizations of Coxeter groups, Artin groups, and graph products of cyclic groups. Their definition is similar to that of a Coxeter group, but generators may have arbitrary order rather than strictly order 2. We extend a well‐known result that Coxeter groups are CAT(0)$\mathrm{CAT}(0)$ to a class of Shephard ...
Katherine M. Goldman
wiley +1 more source
ℓp$\ell ^p$ metrics on cell complexes
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract Motivated by the observation that groups can be effectively studied using metric spaces modelled on ℓ1$\ell ^1$, ℓ2$\ell ^2$ and ℓ∞$\ell ^\infty$ geometry, we consider cell complexes equipped with an ℓp$\ell ^p$ metric for arbitrary p$p$. Under weak conditions that can be checked locally, we establish non‐positive curvature properties of these
Thomas Haettel, Nima Hoda, Harry Petyt
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Harmonic balls in Liouville quantum gravity
Proceedings of the London Mathematical Society, Volume 130, Issue 1, January 2025.Abstract Harmonic balls are domains that satisfy the mean‐value property for harmonic functions. We establish the existence and uniqueness of harmonic balls on Liouville quantum gravity (LQG) surfaces using the obstacle problem formulation of Hele–Shaw flow.
Ahmed Bou‐Rabee, Ewain Gwynne
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Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract The aim of this paper is to prove the existence of Hadamard states for the Maxwell equations on any globally hyperbolic spacetime. This will be achieved by introducing a new gauge fixing condition, the Cauchy radiation gauge, that will allow to suppress all the unphysical degrees of freedom. The key ingredient for achieving this gauge is a new
Simone Murro, Gabriel Schmid
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Separability in Morse local‐to‐global groups
Bulletin of the London Mathematical Society, Volume 56, Issue 10, Page 3134-3144, October 2024.Abstract We show that in a Morse local‐to‐global group where stable subgroups are separable, the product of any stable subgroups is separable. As an application, we show that the product of stable subgroups in virtually special groups is separable.
Lawk Mineh, Davide Spriano
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Parabolic isometries of the fine curve graph of the torus
Proceedings of the London Mathematical Society, Volume 129, Issue 2, August 2024.Abstract In this article, we finish the classification of actions of torus homeomorphisms on the fine curve graph initiated by Bowden, Hensel, Mann, Militon, and Webb. This is made by proving that if f∈Homeo(T2)$f \in \mathrm{Homeo}(\mathbb {T}^2)$, then f$f$ acts elliptically on C†(T2)$\mathcal {C}^{\dagger }(\mathbb {T}^2)$ if and only if f$f$ has ...
Pierre‐Antoine Guihéneuf +1 more
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On the length of nonsolutions to equations with constants in some linear groups
Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2338-2349, July 2024.Abstract We show that for any finite‐rank–free group Γ$\Gamma$, any word‐equation in one variable of length n$n$ with constants in Γ$\Gamma$ fails to be satisfied by some element of Γ$\Gamma$ of word‐length O(log(n))$O(\log (n))$. By a result of the first author, this logarithmic bound cannot be improved upon for any finitely generated group Γ$\Gamma$.
Henry Bradford +2 more
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