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pro vyhledávání: '"Garnier, Owen"'
Autor:
Garnier, Owen
Recently, Marin and Gonz\'alez-Meneses introduced a class of ``parabolic'' subgroups for generalized braid groups associated to arbitrary complex reflection groups. Using notably Garside group structures on these generalized braid groups, they proved
Externí odkaz:
http://arxiv.org/abs/2403.02209
Autor:
Garnier, Owen
We consider a particular class of Garside groups, which we call circular groups. We mainly prove that roots are unique up to conjugacy in circular groups. This allows us to completely classify these groups up to isomorphism. As a consequence, we obta
Externí odkaz:
http://arxiv.org/abs/2307.07809
Autor:
Garnier, Owen
In his proof of the K(pi,1) conjecture for complex reflection arrangements, Bessis defined Garside categories suitable for studying braid groups of centralizers of Springer regular elements in well-generated complex reflection groups. We provide a de
Externí odkaz:
http://arxiv.org/abs/2306.13022
Autor:
Garnier, Owen
Publikováno v:
Applied Categorical Structure 32 (2024)
The homology of a Garside monoid, thus of a Garside group, can be computed efficiently through the use of the order complex defined by Dehornoy and Lafont. We construct a categorical generalization of this complex and we give some computational techn
Externí odkaz:
http://arxiv.org/abs/2302.10033
Autor:
Garnier, Owen
Publikováno v:
Journal of Algebra 620 (2023) 534-557
In his seminal paper on complex reflection arrangements, Bessis introduces a Garside structure for the braid group of a well-generated irreducible complex reflection group. Using this Garside structure, he establishes a strong connection between regu
Externí odkaz:
http://arxiv.org/abs/2205.06383
Autor:
Garnier, Owen
Publikováno v:
Journal of Group Theory; Sep2024, Vol. 27 Issue 5, p1091-1128, 38p
Akademický článek
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Autor:
Owen GARNIER
Publikováno v:
HAL
In his seminal paper on complex reflection arrangements, Bessis introduces a Garside structure for the braid group of a well-generated irreducible complex reflection group. Using this Garside structure, he establishes a strong connection between regu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c6f765a17b6ac904c72a4b24de93147