Zobrazeno 1 - 10
of 147
pro vyhledávání: '"20F67, 20F65"'
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:
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:
Dey, Subhadip, Liu, Beibei
Kleiner-Leeb and Quint showed that convex subsets in higher-rank symmetric spaces are very rigid compared to rank 1 symmetric spaces. Motivated by this, we consider convex subsets in products of proper CAT(0) spaces $X_1\times X_2$ and show that for
Externí odkaz:
http://arxiv.org/abs/2408.03462
We consider the random right-angled Coxeter group whose presentation graph is an Erdos-Renyi random graph on n vertices with edge probability p=p(n). We establish that p=1/\sqrt{n} is a threshold for relative hyperbolicity of the random right-angled
Externí odkaz:
http://arxiv.org/abs/2407.12959
Autor:
Balasubramanya, Sahana, Fernos, Talia
We present a new notion of non-positively curved groups: the collection of discrete countable groups acting (AU-)acylindrically on finite products of $\delta$-hyperbolic spaces with general type factors. Inspired by the classical theory of ($S$-arith
Externí odkaz:
http://arxiv.org/abs/2407.04838
Autor:
Groves, Daniel, Haïssinsky, Peter, Manning, Jason F., Osajda, Damian, Sisto, Alessandro, Walsh, Genevieve S.
Given a hyperbolic group $G$ and a maximal infinite cyclic subgroup $\langle g \rangle$, we define a drilling of $G$ along $g$, which is a relatively hyperbolic group pair $(\widehat{G}, P)$. This is inspired by the well-studied procedure of drilling
Externí odkaz:
http://arxiv.org/abs/2406.14667
Autor:
Bongiovanni, Eliot
Given a closed surface $S$ with finitely generated Veech group $G$ and its $\pi_1(S)$-extension $\Gamma$, there exists a hyperbolic space $\hat{E}$ on which $\Gamma$ acts isometrically and cocompactly. The space $\hat{E}$ is obtained by collapsing so
Externí odkaz:
http://arxiv.org/abs/2406.11090
We study Frattini subgroups of various generalizations of hyperbolic groups. For any countable group $G$ admitting a general type action on a hyperbolic space $S$, we show that the induced action of the Frattini subgroup $\Phi(G)$ on $S$ has bounded
Externí odkaz:
http://arxiv.org/abs/2402.04592
Autor:
Tsouvalas, Konstantinos, Zhu, Feng
We obtain restrictions on which groups can admit relatively Anosov representations into specified target Lie groups, by examining the topology of possible Bowditch boundaries and how they interact with the Anosov limit maps. For instance, we prove th
Externí odkaz:
http://arxiv.org/abs/2401.03050
Autor:
Arenas, Macarena
We show that the Cohen--Lyndon property holds for classical $C(6)$ small-cancellation quotients, thus generalising the analogous result from the $C'(\frac{1}{6})$ setting, and answering a 1966 question of Lyndon.
Comment: 16 pages, 5 figures
Comment: 16 pages, 5 figures
Externí odkaz:
http://arxiv.org/abs/2310.20288