Zobrazeno 1 - 10
of 1 862
pro vyhledávání: '"20F67"'
Autor:
Nairne, Patrick S.
We prove that if a group $G$ is relatively hyperbolic with respect to virtually abelian peripheral subgroups then $G$ quasiisometrically embeds into a product of binary trees. This extends the result of Buyalo, Dranishnikov and Schroeder in which the
Externí odkaz:
http://arxiv.org/abs/2412.16029
For every positive integer $n$ we construct an example of a subgroup $L< G$ of a linear ${\rm CAT}(0)$ group $G$ such that $L$ is of finiteness type $\mathcal{F}_{n-1}$ and not $\mathcal{F}_n$, and $L$ does not admit a representation into $\mathsf{GL
Externí odkaz:
http://arxiv.org/abs/2412.14081
Autor:
Reid, Colin D.
Let $G$ be a totally disconnected, locally compact (t.d.l.c.) group. The scale $s_G(g)$ of $g \in G$ in the sense of Willis is given by the minimum value of the index $|gUg^{-1}:U \cap gUg^{-1}|$ as $U$ ranges over the compact open subgroups; the the
Externí odkaz:
http://arxiv.org/abs/2412.11352
Autor:
Han, Suzhen, Liu, Qing
We prove that stable subgroups of Morse local-to-global groups exhibit a growth gap. That is, the growth rate of an infinite-index stable subgroup is strictly less than the growth rate of the ambient Morse local-to-global group. This generalizes a re
Externí odkaz:
http://arxiv.org/abs/2412.11244
Autor:
Crowe, Gemma
In this paper we solve the conjugacy problem for several classes of virtual right-angled Artin groups, using algebraic and geometric techniques. We show that virtual RAAGs of the form $A_{\phi} = A_{\Gamma} \rtimes_{\phi} \mathbb{Z}/m\mathbb{Z}$ are
Externí odkaz:
http://arxiv.org/abs/2412.10293
Autor:
Shepherd, Sam
We prove that any product of convex subgroups of a virtually special cubulated group is separable. Previously, this was only known for products of three subgroups, or in the case where the group is hyperbolic, or in some other more technical cases wi
Externí odkaz:
http://arxiv.org/abs/2412.08248
Autor:
Mangioni, Giorgio, Sisto, Alessandro
We prove that most Artin groups of large and hyperbolic type are Hopfian, meaning that every self-epimorphism is an isomorphism. The class covered by our result is generic, in the sense of Goldsborough-Vaskou. Moreover, assuming the residual finitene
Externí odkaz:
http://arxiv.org/abs/2412.04364
Autor:
Basu, Riddhipratim, Mj, Mahan
We continue the study of the geometry of infinite geodesics in first passage percolation (FPP) on Gromov-hyperbolic groups G, initiated by Benjamini-Tessera and developed further by the authors. It was shown earlier by the authors that, given any fix
Externí odkaz:
http://arxiv.org/abs/2412.03067
Autor:
Kandybo, Mateusz
Following the research from the paper "Triangles, squares and geodesics" (arXiv:0910.5688) of Rena Levitt and Jon McCammond we investigate the properties of groups acting on CAT(0) triangle-square complexes, focusing mostly on biautomaticity of such
Externí odkaz:
http://arxiv.org/abs/2412.02892
Autor:
Goldman, Katherine
The 2-dimensional Shephard groups are quotients of 2-dimensional Artin groups by powers of standard generators. We show that such a quotient is not $\mathrm{CAT}(0)$ if the powers taken are sufficiently large. However, for a given 2-dimensional Sheph
Externí odkaz:
http://arxiv.org/abs/2411.15434