Zobrazeno 1 - 10
of 138
pro vyhledávání: '"Vaskou, A."'
Autor:
Soergel, Mireille, Vaskou, Nicolas
In this article we describe the centres of all Dyer groups. We also give a complete classification of when a Dyer group $D(\Gamma)$ is hyperbolic or acylindricality hyperbolic, with conditions that can easily be read on the Dyer graph $\Gamma$.
Externí odkaz:
http://arxiv.org/abs/2410.22464
In this article, we study homomorphisms between Artin groups that belong to two generic classes. For XL-type Artin groups over complete graphs, we describe all possible homomorphisms with sufficiently large image, and prove in particular that such gr
Externí odkaz:
http://arxiv.org/abs/2410.19091
Autor:
Soroko, Ignat, Vaskou, Nicolas
We establish property $R_\infty$ for Artin groups of spherical type $D_n$, $n\ge6$, their central quotients, and also for large hyperbolic-type free-of-infinity Artin groups and some other classes of large-type Artin groups. The key ingredients are r
Externí odkaz:
http://arxiv.org/abs/2409.18123
We compute the automorphism group of the intersection graph of many large-type Artin groups. This graph is an analogue of the curve graph of mapping class groups but in the context of Artin groups. As an application, we deduce a number of rigidity an
Externí odkaz:
http://arxiv.org/abs/2407.19940
Autor:
Jones, Oli, Vaskou, Nicolas
We study fixed subgroups of automorphisms of any large-type Artin group $A_{\Gamma}$. We define a natural subgroup $\mathrm{Aut}_\Gamma(A_\Gamma)$ of $\mathrm{Aut}(A_{\Gamma})$, and for every $\gamma \in \mathrm{Aut}_\Gamma(A_\Gamma)$ we find the iso
Externí odkaz:
http://arxiv.org/abs/2407.11839
Autor:
Martin, Alexandre, Vaskou, Nicolas
We show that the class of large-type Artin groups is invariant under isomorphism, in stark contrast with the corresponding situation for Coxeter groups. We obtain this result by providing a purely algebraic characterisation of large-type Artin groups
Externí odkaz:
http://arxiv.org/abs/2305.05702
Autor:
Vaskou, Nicolas
We compute explicitly the automorphism and outer automorphism group of all large-type free-of-infinity Artin groups. Our strategy involves reconstructing the associated Deligne complexes in a purely algebraic manner, i.e. in a way that is independent
Externí odkaz:
http://arxiv.org/abs/2304.06666
Autor:
Goldsborough, Antoine, Vaskou, Nicolas
We introduce a new model of random Artin groups. The two variables we consider are the rank of the Artin groups and the set of permitted coefficients of their defining graphs. The heart of our model is to control the speed at which we make that set o
Externí odkaz:
http://arxiv.org/abs/2301.04211
Autor:
Charra-Vaskou, Katline, Lintunen, Anna, Améglio, Thierry, Badel, Eric, Cochard, Hervé, Mayr, Stefan, Salmon, Yann, Suhonen, Heikki, van Rooij, Mahaut, Charrier, Guillaume
Freeze-thaw-induced embolism is a key limiting factor for perennial plants in frost-exposed environments. Gas bubbles are formed during freezing and expand during thawing resulting in xylem embolism. However, when water freezes, its volume increases
Externí odkaz:
http://arxiv.org/abs/2212.06490
Autor:
Vaskou, Nicolas
In this paper we solve the isomorphism problem for all large-type Artin groups. Our strategy involves reconstructing the Coxeter groups associated with large-type Artin groups in a purely algebraic way. This answers several questions raised by Charne
Externí odkaz:
http://arxiv.org/abs/2201.08329