Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Cashen, Christopher H."'
There is a procedure, due to Dani and Levcovitz, for taking a finite simplicial graph (\Gamma) and a subgraph (\Lambda) of its complement, checking some conditions, and, if satisfied, producing a graph (\Delta) such that the right-angled Artin group
Externí odkaz:
http://arxiv.org/abs/2405.04817
Autor:
Bradford, Henry, Cashen, Christopher H., Fournier-Facio, Francesco, Bon, Nicolás Matte, Petyt, Harry
The conference `Geometric and Asymptotic Group Theory with Applications (GAGTA) 2023: Groups and Dynamics' took place at the Erwin Schr\"odinger Institute on July 17-21. These are the problems that were proposed during the Problem Session: Residual f
Externí odkaz:
http://arxiv.org/abs/2310.04207
We exhibit an infinite family of snowflake groups all of whose asymptotic cones are simply connected. Our groups have neither polynomial growth nor quadratic Dehn function, the two usual sources of this phenomenon. We further show that each of our gr
Externí odkaz:
http://arxiv.org/abs/2202.11626
Publikováno v:
Experiment. Math. 32 (2023), no 4, 631-640
We give experimental support for a conjecture of Louder and Wilton saying that words of imprimitivity rank greater than two yield hyperbolic one-relator groups.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/2006.15923
Autor:
Cashen, Christopher H.
Publikováno v:
Geom. Dedicata 204 (2020), no 1, 311--314
We prove that Morse subsets of CAT(0) spaces are strongly contracting. This generalizes and simplifies a result of Sultan, who proved it for Morse quasi-geodesics. Our proof goes through the recurrence characterization of Morse subsets.
Comment:
Comment:
Externí odkaz:
http://arxiv.org/abs/1810.02119
Publikováno v:
Ergod. Th. Dynam. Sys. 40 (2020) 1738-1754
Let $G$ be a group acting properly by isometries and with a strongly contracting element on a geodesic metric space. Let $N$ be an infinite normal subgroup of $G$, and let $\delta_N$ and $\delta_G$ be the growth rates of $N$ and $G$ with respect to t
Externí odkaz:
http://arxiv.org/abs/1803.05782
Publikováno v:
Trans. Amer. Math. Soc. 372 (2019), no. 3, 1555-1600
The 'contracting boundary' of a proper geodesic metric space consists of equivalence classes of geodesic rays that behave like rays in a hyperbolic space. We introduce a geometrically relevant, quasi-isometry invariant topology on the contracting bou
Externí odkaz:
http://arxiv.org/abs/1703.01482
Autor:
Cashen, Christopher H.
Publikováno v:
Analysis and Geometry in Metric Spaces, 4 (2016), no. 1, 278-281
We consider a `contracting boundary' of a proper geodesic metric space consisting of equivalence classes of geodesic rays that behave like geodesics in a hyperbolic space. We topologize this set via the Gromov product, in analogy to the topology of t
Externí odkaz:
http://arxiv.org/abs/1605.01660
Publikováno v:
Groups Geom. Dyn. 13 (2019), no.2, 579-632
We use the interplay between combinatorial and coarse geometric versions of negative curvature to investigate the geometry of infinitely presented graphical $Gr'(1/6)$ small cancellation groups. In particular, we characterize their 'contracting geode
Externí odkaz:
http://arxiv.org/abs/1602.03767
Publikováno v:
Math. Proc. Cambridge Philos. Soc. , 162 (2017), no. 2, 249-291
We construct `structure invariants' of a one-ended, finitely presented group that describe the way in which the factors of its JSJ decomposition over two-ended subgroups fit together. For groups satisfying two technical conditions, these invariants r
Externí odkaz:
http://arxiv.org/abs/1601.07147