Results 41 to 50 of about 435 (132)
Strong subgroup recurrence and the Nevo–Stuck–Zimmer theorem
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract Let Γ$\Gamma$ be a countable group and Sub(Γ)$\mathrm{Sub}(\Gamma)$ its Chabauty space, namely, the compact Γ$\Gamma$‐space consisting of all subgroups of Γ$\Gamma$. We call a subgroup Δ∈Sub(Γ)$\Delta \in \mathrm{Sub}(\Gamma)$ a boomerang subgroup if for every γ∈Γ$\gamma \in \Gamma$, γniΔγ−ni→Δ$\gamma ^{n_i} \Delta \gamma ^{-n_i} \rightarrow ...
Yair Glasner, Waltraud Lederle
wiley +1 more source
On profinite rigidity amongst free‐by‐cyclic groups I: The generic case
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract We prove that amongst the class of free‐by‐cyclic groups, Gromov hyperbolicity is an invariant of the profinite completion. We show that whenever G$G$ is a free‐by‐cyclic group with first Betti number equal to one, and H$H$ is a free‐by‐cyclic group which is profinitely isomorphic to G$G$, the ranks of the fibres and the characteristic ...
Sam Hughes, Monika Kudlinska
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Structure of quasiconvex virtual joins
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract Let G$G$ be a relatively hyperbolic group and let Q$Q$ and R$R$ be relatively quasiconvex subgroups. It is known that there are many pairs of finite index subgroups Q′⩽fQ$Q^{\prime } \leqslant _f Q$ and R′⩽fR$R^{\prime } \leqslant _f R$ such that the subgroup join ⟨Q′,R′⟩$\langle Q^{\prime }, R^{\prime } \rangle$ is also relatively quasiconvex,
Lawk Mineh
wiley +1 more source
Teichmuller Space is Not Gromov Hyperbolic
, 1994 We prove that the Teichmuller Space of Riemann Surfaces of genus g>1, equipped with the Teichmuller metric, is not a Gromov Hyperbolic space.
Masur, Howard A., Wolf, Michael
openaire +3 more sources
Bounded projections to the Z$\mathcal {Z}$‐factor graph
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract Suppose that G$G$ is a free product G=A1∗A2∗⋯∗Ak∗FN$G = A_1 * A_2* \cdots * A_k * F_N$, where each of the groups Ai$A_i$ is torsion‐free and FN$F_N$ is a free group of rank N$N$. Let O$\mathcal {O}$ be the deformation space associated to this free product decomposition. We show that the diameter of the projection of the subset of O$\mathcal {O}
Matt Clay, Caglar Uyanik
wiley +1 more source
Gromov hyperbolicity and a variation of the Gordian complex
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2011 9 pages, 6 ...
Ichihara, Kazuhiro, Jong, In Dae
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Asymptotic behavior of Moncrief Lines in constant curvature space‐times
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1347-1359, May 2025.Abstract We study the asymptotic behavior of Moncrief lines on 2+1$2+1$ maximal globally hyperbolic spatially compact space‐time M$M$ of nonnegative constant curvature. We show that when the unique geodesic lamination associated with M$M$ is either maximal uniquely ergodic or simplicial, the Moncrief line converges, as time goes to zero, to a unique ...
Mehdi Belraouti +2 more
wiley +1 more source
Finiteness properties and relatively hyperbolic groups
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1445-1452, May 2025.Abstract We show that properties Fn$F_n$ and FPn$FP_n$ hold for a relatively hyperbolic group if and only if they hold for all the peripheral subgroups. As an application we show that there are at least countably many distinct quasi‐isometry classes of one‐ended non‐amenable groups that are type Fn$F_n$ but not Fn+1$F_{n+1}$ and similarly of type FPn ...
Harsh Patil
wiley +1 more source
Relative cubulation of relative strict hyperbolization
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
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Journal of Topology, Volume 18, Issue 1, March 2025.Abstract We characterize a certain neck‐pinching degeneration of (marked) CP1$\mathbb {C}{\rm P}^1$‐structures on a closed oriented surface S$S$ of genus at least two. In a more general setting, we take a path of CP1$\mathbb {C}{\rm P}^1$‐structures Ct(t⩾0)$C_t \nobreakspace (t \geqslant 0)$ on S$S$ that leaves every compact subset in its deformation ...
Shinpei Baba
wiley +1 more source