Zobrazeno 1 - 10
of 497
pro vyhledávání: '"París, Luis A."'
A new family of groups, called trickle groups, is presented. These groups generalize right-angled Artin and Coxeter groups, as well as cactus groups. A trickle group is defined by a presentation with relations of the form $xy = zx$ and $x^\mu = 1$, t
Externí odkaz:
http://arxiv.org/abs/2412.04932
We characterize, in terms of the defining graph, when a twisted right-angled Artin group (a group whose only relations among pairs of generators are either commuting or Klein-bottle type relations) is left-orderable.
Externí odkaz:
http://arxiv.org/abs/2410.19086
Autor:
Paris, Luis, Soroko, Ignat
We determine a classification of the endomorphisms of the Artin groups of spherical type $B_n$ for $n\ge 5$, and of their quotients by the center.
Comment: 27 pages, 6 figures. arXiv admin note: text overlap with arXiv:2406.02484
Comment: 27 pages, 6 figures. arXiv admin note: text overlap with arXiv:2406.02484
Externí odkaz:
http://arxiv.org/abs/2409.12552
Autor:
Paris, Luis, Soroko, Ignat
We determine a classification of the endomorphisms of the Artin group of affine type $\tilde A_n$ for $n\ge 4$.
Comment: v3: Corollary 3.6 added; v2: a reference added, 19 pages, 6 figures
Comment: v3: Corollary 3.6 added; v2: a reference added, 19 pages, 6 figures
Externí odkaz:
http://arxiv.org/abs/2406.02484
We give a short proof for the fact, already proven by Thomas Haettel, that the arbitrary intersection of parabolic subgroups in Euclidean Braid groups $A[\tilde{A}_n]$ is again a parabolic subgroup. To that end, we use that the spherical-type Artin g
Externí odkaz:
http://arxiv.org/abs/2402.10919
Autor:
Castel, Fabrice, Paris, Luis
In this paper we determine a classification of the endomorphisms of the Artin group $A [D_n]$ of type $D_n$ for $n\ge 6$. In particular we determine its automorphism group and its outer automorphism group. We also determine a classification of the ho
Externí odkaz:
http://arxiv.org/abs/2307.02880
Autor:
Paris, Luis, Varghese, Olga
Graph products of cyclic groups and Coxeter groups are two families of groups that are defined by labeled graphs. The family of Dyer groups contains these both families and gives us a framework to study these groups in a unified way. This paper focus
Externí odkaz:
http://arxiv.org/abs/2305.09796
Autor:
Paris, Luis, Soergel, Mireille
One can observe that Coxeter groups and right-angled Artin groups share the same solution to the word problem. On the other hand, in his study of reflection subgroups of Coxeter groups Dyer introduces a family of groups, which we call Dyer groups, wh
Externí odkaz:
http://arxiv.org/abs/2212.10862
Autor:
Paris, Luis, Varghese, Olga
By definition, a group is called narrow if it does not contain a copy of a non-abelian free group. We describe the structure of finite and narrow normal subgroups in Coxeter groups and their automorphism groups.
Comment: To appear in Journal of
Comment: To appear in Journal of
Externí odkaz:
http://arxiv.org/abs/2211.16906
Autor:
Blufstein, Martin Axel, Paris, Luis
We prove that a parabolic subgroup $P$ contained in another parabolic subgroup $P'$ of an Artin group $A$ is a parabolic subgroup of $P'$. This answers a question of Godelle which is not obvious despite appearances. In order to achieve our result we
Externí odkaz:
http://arxiv.org/abs/2204.05142