Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Nicolaides, Robert"'
Autor:
Nicolaides, Robert, Rowley, Peter
The deletion order of a finitely generated Coxeter group W is a total order on the elements which, as is proved, is a refinement of the Bruhat order. This order is applied in [8] to construct Elnitsky tilings for any finite Coxeter group. Employing t
Externí odkaz:
http://arxiv.org/abs/2407.07881
Autor:
Nicolaides, Robert, Rowley, Peter
Suppose that $W$ is a finite Coxeter group and $W_J$ a standard parabolic subgroup of $W$. The main result proved here is that for any for any $w \in W$ and reduced expression of $w$ there is an Elnitsky tiling of a $2m$-polygon, where $m = [W : W_J]
Externí odkaz:
http://arxiv.org/abs/2407.07975
The maximal rank of an abstract regular polytope for M24, the Mathieu group of degree 24, is 5. There are four such polytopes of rank 5 and in this note we describe them using Curtis's MOG. This description is then used to give an upper bound for the
Externí odkaz:
http://arxiv.org/abs/2201.02128
Autor:
Nicolaides, Robert, Rowley, Peter
In [5], Elnitsky constructed three elegant bijections between classes of reduced words for Type $\mathrm{A}$, $\mathrm{B}$ and $\mathrm{D}$ families of Coxeter groups and certain tilings of polygons. This paper offers a particular generalization of t
Externí odkaz:
http://arxiv.org/abs/2111.10669
Autor:
Nicolaides, Robert, Rowley, Peter
Two new Elnitsky tilings for Coxeter groups of type $\mathrm{B}$ are displayed as certain subtilings. Additionally, a new tiling for the non-crystallographic Coxeter group of type $\mathrm{H}_3$ is obtained, described as a $\mathrm{D}_6$-subtiling.
Externí odkaz:
http://arxiv.org/abs/2106.03173
Autor:
Nicolaides, Robert, Rowley, Peter
This paper introduces the notion of an unravelled abstract regular polytope, and proves that $\SL_3(q) \rtimes $, where $t$ is the transpose inverse automorphism of $\SL_3(q)$, possesses such polytopes for various congruences of $q$. A large numbe
Externí odkaz:
http://arxiv.org/abs/2105.01921
Autor:
Nicolaides, Robert, Rowley, Peter
This paper exhibits two families of unravelled abstract regular polytopes in Coxeter groups of type Bn. For one family they have rank 4 while the other family has arbitrarily large rank.
Externí odkaz:
http://arxiv.org/abs/2105.01532
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Nicolaides, Robert, Rowley, Peter
Publikováno v:
Journal of Group Theory; Nov2022, Vol. 25 Issue 6, p1133-1148, 16p
Autor:
Nicolaides, Robert1 (AUTHOR) robert.nicolaides@postgrad.manchester.ac.uk, Rowley, Peter1 (AUTHOR) peter.j.rowley@manchester.ac.uk
Publikováno v:
Journal of Group Theory. Nov2022, Vol. 25 Issue 6, p1133-1148. 16p.