Results 1 to 10 of about 1,439 (77)
Żuk’s criterion for Banach spaces and random groups
Forum of Mathematics, Sigma, 2023 We prove a Banach version of Żuk’s criterion for groups acting on partite (i.e., colorable) simplicial complexes. Using this new criterion, we derive a new fixed point theorem for random groups in the Gromov density model with respect to several classes ...
Izhar Oppenheim
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Tits Alternative for $2$ -dimensional $\mathrm {CAT}(0)$ complexes
Forum of Mathematics, Pi, 2022 We prove the Tits Alternative for groups acting on $2$ -dimensional $\mathrm {CAT}(0)$ complexes with a bound on the order of the cell stabilisers.
Damian Osajda, Piotr Przytycki
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Cusps, Kleinian groups, and Eisenstein series
Forum of Mathematics, Sigma, 2023 We study the Eisenstein series associated to the full rank cusps in a complete hyperbolic manifold. We show that given a Kleinian group $\Gamma
Beibei Liu, Shi Wang
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On subset sum problem in branch groups [PDF]
Groups, Complexity, Cryptology, 2020 We consider a group-theoretic analogue of the classic subset sum problem. In this brief note, we show that the subset sum problem is NP-complete in the first Grigorchuk group.
Andrey Nikolaev, Alexander Ushakov
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Curve graphs for Artin–Tits groups of type B, A∼ and C∼ are hyperbolic
Transactions of the London Mathematical Society, 2021 The graph of irreducible parabolic subgroups is a combinatorial object associated to an Artin–Tits group A defined so as to coincide with the curve graph of the (n+1)‐times punctured disk when A is Artin's braid group on (n+1) strands.
Matthieu Calvez +1 more
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The Asymptotic Statistics of Random Covering Surfaces
Forum of Mathematics, Pi, 2023 Let $\Gamma _{g}$ be the fundamental group of a closed connected orientable surface of genus $g\geq 2$ . We develop a new method for integrating over the representation space $\mathbb {X}_{g,n}=\mathrm {Hom}(\Gamma _{g},S_{n})$ , where
Michael Magee, Doron Puder
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On the dimension of Z-sets [PDF]
, 2013 We offer a short and elementary proof that, for a Z-set A in a finite-dimensional ANR Y ...
Guilbault, Craig R., Tirel, Carrie J.
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Unbounded asymmetry of stretch factors [PDF]
, 2014 A result of Handel-Mosher guarantees that the ratio of logarithms of stretch factors of any fully irreducible automorphism of the free group $F_N$ and its inverse is bounded by a constant $C_N$.
Dowdall, Spencer +2 more
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, 2010 Stable commutator length vanishes in any group that obeys a ...
Calegari, Danny
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Growth functions for some uniformly amenable groups
Open Mathematics, 2017 We present a simple constructive proof of the fact that every abelian discrete group is uniformly amenable. We improve the growth function obtained earlier and find the optimal growth function in a particular case.
Dronka Janusz +3 more
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