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pro vyhledávání: '"Susse, Tim"'
Autor:
Susse, Tim
We study Morse subgroups and Morse boundaries of random right-angled Coxeter groups in the Erd\H{o}s--R\'enyi model. We show that at densities below $\left(\sqrt{\frac{1}{2}}-\epsilon\right)\sqrt{\frac{\log{n}}{n}}$ random right-angled Coxeter groups
Externí odkaz:
http://arxiv.org/abs/2108.09824
Given a graph $\Gamma$, its auxiliary \emph{square-graph} $\square(\Gamma)$ is the graph whose vertices are the non-edges of $\Gamma$ and whose edges are the pairs of non-edges which induce a square (i.e., a $4$-cycle) in $\Gamma$. We determine the t
Externí odkaz:
http://arxiv.org/abs/2009.14442
In this article we construct asynchronous and sometimes synchronous automatic structures for amalgamated products and HNN extensions of groups that are strongly asynchronously (or synchronously) coset automatic with respect to the associated automati
Externí odkaz:
http://arxiv.org/abs/1905.05943
Autor:
Sale, Andrew, Susse, Tim
Publikováno v:
Pacific J. Math. 314 (2021) 161-208
We show that the outer automorphism groups of graph products of finitely generated abelian groups satisfy the Tits alternative, are residually finite, their so-called Torelli subgroups are finitely generated, and they satisfy a dichotomy between bein
Externí odkaz:
http://arxiv.org/abs/1902.01438
Autor:
Sale, Andrew, Susse, Tim
We generalise the notion of a separating intersection of links (SIL) to give necessary and sufficient criteria on the defining graph $\Gamma$ of a right-angled Coxeter group $W_\Gamma$ so that its outer automorphism group is large: that is, it contai
Externí odkaz:
http://arxiv.org/abs/1706.07873
We provide an algorithm to solve the word problem in all fundamental groups of closed 3-manifolds; in particular, we show that these groups are autostackable. This provides a common framework for a solution to the word problem in any closed 3-manifol
Externí odkaz:
http://arxiv.org/abs/1609.06253
Autor:
Hagen, Mark F, Susse, Tim
Let X be a proper CAT(0) cube complex admitting a proper cocompact action by a group G. We give three conditions on the action, any one of which ensures that X has a factor system in the sense of [BHS14]. We also prove that one of these conditions is
Externí odkaz:
http://arxiv.org/abs/1609.01313
Publikováno v:
In Journal of Algebra 1 April 2018 499:111-150
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