Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Neaime, Georges"'
We consider presentations that were derived in \cite{BaumeisterNeaimeRees} for the interval groups associated with proper quasi-Coxeter elements of the Coxeter group $W(D_n)$. We use combinatorial methods to derive alternative presentations for the g
Externí odkaz:
http://arxiv.org/abs/2206.13308
We provide a complete description of the presentations of the interval groups related to quasi-Coxeter elements in finite Coxeter groups. In the simply laced cases, we show that each interval group is the quotient of the Artin group associated with t
Externí odkaz:
http://arxiv.org/abs/2206.09471
We derive presentations of the interval groups related to all quasi-Coxeter elements in the Coxeter group of type $D_n$. Type $D_n$ is the only infinite family of finite Coxeter groups that admits proper quasi-Coxeter elements. The presentations we o
Externí odkaz:
http://arxiv.org/abs/2103.06570
Autor:
Neaime, Georges
Nous définissons des formes normales géodésiques pour les séries générales des groupes de réflexions complexes G(de,e,n). Ceci nécessite l'élaboration d'une technique combinatoire afin de déterminer des décompositions réduites et de calcu
Externí odkaz:
http://www.theses.fr/2018NORMC214/document
Publikováno v:
In Journal of Algebra 1 September 2023 629:399-423
Autor:
Neaime, Georges
Garside theory emerged from the study of Artin groups and their generalizations. Finite-type Artin groups admit two types of interval Garside structures corresponding to their standard and dual presentations. Concerning affine Artin groups, Digne est
Externí odkaz:
http://arxiv.org/abs/1909.10905
Autor:
Neaime, Georges
We establish geodesic normal forms for the general series of complex reflection groups G(de,e,n) by using the presentations of Corran-Picantin and Corran-Lee-Lee of G(e,e,n) and G(de,e,n) for d > 1, respectively. This requires the elaboration of a co
Externí odkaz:
http://arxiv.org/abs/1810.12053
Autor:
Neaime, Georges
Publikováno v:
In Journal of Algebra 1 October 2022 607 Part B:411-436
Autor:
Neaime, Georges
We define geodesic normal forms for the general series of complex reflection groups G(e,e,n). This requires the elaboration of a combinatorial technique in order to explicitly determine minimal word representatives of the elements of G(e,e,n) over th
Externí odkaz:
http://arxiv.org/abs/1707.06864
Autor:
Neaime, Georges
Publikováno v:
In Journal of Pure and Applied Algebra February 2021 225(2)