Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Anthony Genevois"'
Autor:
Anthony Genevois
Publikováno v:
Canadian Journal of Mathematics. 75:743-777
In this article, we generalize Haglund and Wise’s theory of special cube complexes to groups acting on quasi-median graphs. More precisely, we define special actions on quasi-median graphs, and we show that a group which acts specially on a quasi-m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dbe257bc2f9850b714c59742201977e4
https://doi.org/10.4153/s0008414x22000141
https://doi.org/10.4153/s0008414x22000141
Autor:
Anthony Genevois
Publikováno v:
Séminaire de théorie spectrale et géométrie. 35:43-68
Quasi-median graphs have been introduced by Mulder in 1980 as a generalisation of median graphs, known in geometric group theory to naturally coincide with the class of CAT(0) cube complexes. In his PhD thesis, the author showed that quasi-median gra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b0817837d50f174edf0230723e7e24c
https://doi.org/10.5802/tsg.363
https://doi.org/10.5802/tsg.363
Autor:
Anthony Genevois
Publikováno v:
Israel Journal of Mathematics. 241:301-341
This article is dedicated to the characterisation of the relative hyperbolicity of Haglund and Wise's special groups. More precise, we introduce a new combinatorial formalism to study (virtually) special groups, and we prove that, given a cocompact s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4550d03c0e886ee279aa3cc9e7facc0
https://doi.org/10.1007/s11856-021-2097-1
https://doi.org/10.1007/s11856-021-2097-1
Autor:
Anthony Genevois
Publikováno v:
Groups, Geometry, and Dynamics. 13:1457-1510
The main result of this article is that any braided (resp. annular, planar) diagram group $D$ splits as a short exact sequence $1 \to R \to D \to S \to 1$ where $R$ is a subgroup of some right-angled Artin group and $S$ a subgroup of Thompson's group
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39009c8fce31715335158fb8001a045d
https://doi.org/10.4171/ggd/530
https://doi.org/10.4171/ggd/530
Autor:
Anthony Genevois
Publikováno v:
Journal of Combinatorial Algebra. 3:305-329
In this article, we show that some negative curvature may survive when taking the automorphism group of a finitely generated group. More precisely, we prove that the automorphism group $\mathrm{Aut}(G)$ of a one-ended hyperbolic group $G$ turns out t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4021ac5a3aa29b1575ec585406c8c0bc
https://doi.org/10.4171/jca/33
https://doi.org/10.4171/jca/33
Autor:
Anthony Genevois, Olga Varghese
Publikováno v:
Bulletin of the Australian Mathematical Society. 101:272-282
An automorphism of a graph product of groups is conjugating if it sends each factor to a conjugate of a factor (possibly different). In this article, we determine precisely when the group of conjugating automorphisms of a graph product satisfies Kazh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::838d5d47eb397a1f6c8cee4a5a617ebf
https://doi.org/10.1017/s0004972719000844
https://doi.org/10.1017/s0004972719000844
Autor:
Anthony Genevois, Alexandre Martin
Publikováno v:
Proceedings of the London Mathematical Society. 119:1745-1779
This article studies automorphism groups of graph products of arbitrary groups. We completely characterise automorphisms that preserve the set of conjugacy classes of vertex groups as those automorphisms that can be decomposed as a product of certain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01e66d0532561ac0347c2f62a964142f
https://doi.org/10.1112/plms.12282
https://doi.org/10.1112/plms.12282
Autor:
Anthony Genevois, Arnaud Stocker
Publikováno v:
Bulletin de la Société mathématique de France. 147:377-394
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c697342bde72901dffe3fcd5bd26d258
https://doi.org/10.24033/bsmf.2786
https://doi.org/10.24033/bsmf.2786
Autor:
Anthony Genevois
In this short note, we show that a group acting geometrically on a CAT(0) cube complex with virtually abelian hyperplane-stabilisers must decompose virtually as a free product of free abelian groups and surface groups.
8 pages
8 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::88b7badfd98fca3c5125c43e26c2570b
https://hal.archives-ouvertes.fr/hal-03228529
https://hal.archives-ouvertes.fr/hal-03228529
