Dehn functions of subgroups of cat 0 groups

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August undefined, 2024

WebFeb 9, 2010 · We construct CAT(0) groups containing subgroups whose Dehn functions are given by x^s, for a dense set of numbers s in [2, infinity). This significantly expands the known geometric behavior of ... WebFeb 27, 2011 · These are constructed by gluing Bieri double groups into standard right-angled Artin groups. As a first application of this construction we obtain families of CAT(0) groups containing finitely presented subgroups which are not of type $\mathrm{FP}_3$, and have exponential, or polynomial Dehn functions of prescribed degree.

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WebJan 1, 2007 · Request PDF On Jan 1, 2007, Noel Brady and others published Dehn Functions of Subgroups of CAT(0) Groups Find, read and cite all the research you … WebAug 1, 2013 · We can thus define the Dehn function of a group to be the ... there is a CAT(0) group G containing a finitely presented subgroup H such that FA H ... D Guralnik, SR Lee, Dehn functions and finiteness properties of subgroups of perturbed right-angled artin groups. arXiv 1102.5551, 2011). Google Scholar. 4. M Gromov, Filling Riemannian … trenches how to use atg

Dehn functions of subgroups of right-angled Artin groups

WebFind many great new & used options and get the best deals for The Geometry of the Word Problem for Finitely Generated Groups: Advanced Courses at the best online prices at eBay! Free shipping for many products! WebALGORITHMS, DEHN FUNCTIONS, AND AUTOMATIC GROUPS JON MCCAMMOND Abstract. Ever since it was shown in the mid 1980s that being word hy- ... so subgroups of biautomatic, semi-hyperbolic, or CAT(0) groups can exhibit undecidable behavior. Even stronger, Rips has a construction that can be used to import bad behavior into negatively … WebDOI: 10.1007/s10711-018-0367-9 Corpus ID: 119666633; Dehn functions of subgroups of right-angled Artin groups @article{Brady2024DehnFO, title={Dehn functions of subgroups of right-angled Artin groups}, author={Noel Brady and Ignat Soroko}, journal={Geometriae Dedicata}, year={2024}, volume={200}, pages={197-239} } trenches hydro hat

Superexponential Dehn functions inside CAT(0) groups

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WebMar 4, 2016 · The answer to both questions is yes, by using the theorem that linearity of the Dehn function implies other formulations of hyperbolicity such as existence of δ ≥ 0 such that all geodesic triangles in the Cayley graph are δ -thin. One can proceed from there, for example, to the classification of isometries, and from there one can deduce ... WebSNOWFLAKE GEOMETRY IN CAT(0) GROUPS NOEL BRADY AND MAX FORESTER ABSTRACT.We construct CAT(0) groups containing subgroups whose Dehn func … temping agencies in basingstokeWebWe generalise a theorem of Gersten on surjectivity of the restriction map in -cohomology of groups. This leads to applications on subgroups of hyperbolic groups, quasi-isometric distinction of finitely generated groups… trenches horror game monster

"WebSep 11, 2024 · We construct CAT (0) groups containing subgroups whose Dehn functions are given by x s, for a dense set of numbers s ∈ [2, ∞). This significantly … " - Dehn functions of subgroups of cat 0 groups

Dehn functions of subgroups of cat 0 groups

WebIn there are examples of ${\text {CAT}}(0)$ groups which contain finitely presented subgroups whose Dehn functions are of the form $n^\alpha $ for a dense set of $\alpha \in [2,\infty )$. Restricting to the case where the ambient groups are RAAGs it gets harder to find examples of subgroups with a wide variety of Dehn functions. WebFeb 26, 2016 · Abstract: We construct CAT(0) groups containing subgroups whose Dehn functions are given by $x^s$, for a dense set of numbers $s \in [2, \infty)$. This …

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WebJan 4, 2024 · We will also discuss groups for which the question of being CAT(0) is still open. It is a well-known open problem to decide whether the braid groups on more than 7 strands are CAT(0) or not. We will focus on a different family of examples - namely, the automorphism groups of right-angled Coxeter groups and their subgroups. WebSep 11, 2024 · We construct CAT (0) groups containing subgroups whose Dehn functions are given by x s, for a dense set of numbers s ∈ [2, ∞). This significantly expands the known geometric behavior of subgroups of CAT (0) groups.

WebSubgroups of NPC Groups Dehn Functions Dehn Functions of Subgroups: What’s known Bieri Doubling Trick Examples. [Baumslag-Bridson-Miller-Short , 1997] … WebIn there are examples of ${\text {CAT}}(0)$ groups which contain finitely presented subgroups whose Dehn functions are of the form $n^\alpha $ for a dense set of …

WebCategory : Class groups (Mathematics) Languages : en Pages : 472. Download Book. ... from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic ...

WebAbstract We construct CAT (0) groups containing subgroups whose Dehn functions are given by xs, for a dense set of numbers s∈[2,∞). This significantly expands the known …

Web4 Theorem 2.1. Let G be a ﬁnitely presented group and δG be its Dehn function. Then the following hold: (1) δG is linear if and only if G is hyperbolic; (2) if δG is subquadratic (i.e. δG(n) ≺ n2) then it is linear; (3) if G = π1X for X a closed non-positively curved Riemann manifold or, more generally, if G is CAT(0), then the Dehn function of G is at most … trenches historyWebALGORITHMS, DEHN FUNCTIONS, AND AUTOMATIC GROUPS JON MCCAMMOND Abstract. Ever since it was shown in the mid 1980s that being word hy- ... so subgroups … trenches icon hydroWebgroup is hyperbolic if and only if its Dehn function is linear. CATp 0q groups and, in particular, RAAGs, have Dehn functions which are either quadratic or linear. In [7] there are examples of CATp 0q groups which contain nitely presented subgroups whose Dehn functions are of the form n for a dense set of P r 2;8q . Restricting temping agencies in manchesterWebFeb 26, 2024 · CA T(0) groups containing ﬁnitely presented subgroups w ith superexp onential Dehn functions. Question 10.7 of [Bri07] asks if there is a universal upper … temping agencies los angelesWebDehn Functions and Non-Positive Curvature. Front Matter. Pages 1-4. PDF The Isoperimetric Spectrum. Pages 5-27. Dehn Functions of Subgroups of CAT(0) Groups. Pages 29-76. Back Matter. Pages 77-79. PDF Filling Functions. Front Matter. Pages 81-87. PDF Filling Functions. Pages 89-108. Relationships Between Filling Functions. Pages … temping agencies in norwichWebSep 18, 2024 · In this case, the overgroup has quadratic Dehn function but it can also be chosen to be CAT(0). In this direction, I probably should mention the very recent preprint Superexponential Dehn functions inside CAT(0) groups in which finitely presented subgroups with superexponential Dehn functions are constructed in CAT(0) groups. trenches houseWebAs a first application of this construction we obtain families of CAT(0) groups containing finitely presented subgroups which are not of type $\mathrm{FP}_3$, and have exponential, or polynomial ... temping agencies in solihull