Results 51 to 60 of about 462 (153)
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
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
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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
Gromov hyperbolic equivalence of the hyperbolic and quasihyperbolic metrics in Denjoy domains [PDF]
Bulletin of the London Mathematical Society, 2010 In this article we investigate the Gromov hyperbolicity of Denjoy domains equipped with the hyperbolic or the quasihyperbolic metric. We first prove the existence of suitable families of quasigeodesics. The main result shows that a Denjoy domain is Gromov hyperbolic with respect to the hyperbolic metric if and only it is Gromov hyperbolic with respect ...
Eva Tourís +3 more
openaire +3 more sources
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
wiley +1 more source
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
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
wiley +1 more source
(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
wiley +1 more source
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
wiley +1 more source