Results 21 to 30 of about 336 (177)
Journal of Algebra, 2011 We consider the class of those Coxeter groups for which removing from the Cayley graph any tubular neighbourhood of any wall leaves exactly two connected components. We call these Coxeter groups bipolar. They include both the virtually Poincare duality Coxeter groups and the infinite irreducible 2-spherical ones.
Caprace, Pierre-Emmanuel +1 more
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International Journal of Mathematics and Mathematical Sciences, 2000 We show that the Coxeter group Dn is the split extension of n−1 copies of Z2 by Sn for a given action of Sn described in the paper. We also find the centre of Dn and some of its other important subgroups.
M. A. Albar, Norah Al-Saleh
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On a four-generator Coxeter group
International Journal of Mathematics and Mathematical Sciences, 2000 We study one of the 4-generator Coxeter groups and show that it is SQ-universal (SQU). We also study some other properties of the group.
Muhammad A. Albar
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International Journal of Algebra and Computation, 2020 Much is known about random right-angled Coxeter groups (i.e., right-angled Coxeter groups whose defining graphs are random graphs under the Erdös–Rényi model). In this paper, we extend this model to study random general Coxeter groups and give some results about random Coxeter groups, including some information about the homology of the nerve of a ...
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Asymptotical behaviour of roots of infinite Coxeter groups I [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 Let $W$ be an infinite Coxeter group, and $\Phi$ be the root system constructed from its geometric representation. We study the set $E$ of limit points of "normalized'' roots (representing the directions of the roots).
Christophe Hohlweg +2 more
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Shortest path poset of finite Coxeter groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 We define a poset using the shortest paths in the Bruhat graph of a finite Coxeter group $W$ from the identity to the longest word in $W, w_0$. We show that this poset is the union of Boolean posets of rank absolute length of $w_0$; that is, any shortest
Saúl A. Blanco
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Electrocatalytic CN Coupling: Advances in Urea Synthesis and Opportunities for Alternative Products. [PDF]
ChemSusChemThis review explores electrocatalytic urea synthesis via carbon–nitrogen (CN) coupling from CO2 and nitrogen species, specifically nitrate, nitrite, nitric oxide, and nitrogen gas. It discusses recent discoveries in catalyst design, reaction pathways, and detection methods. Future outlooks on industrial applications, alternative CN coupling products,
Ballard-Kyle P, Hsieh I, Zhu H.
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FCC, BCC and SC Lattices Derived from the Coxeter-Weyl groups and quaternions
Sultan Qaboos University Journal for Science, 2014 We construct the fcc (face centered cubic), bcc (body centered cubic) and sc (simple cubic) lattices as the root and the weight lattices of the affine extended Coxeter groups W(A3) and W(B3)=Aut(A3).
Nazife Özdeş Koca +2 more
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Coxeter groups as Beauville groups [PDF]
Monatshefte für Mathematik, 2015 We generalize earlier work of Fuertes and Gonz lez-Diez as well as earlier work of Bauer, Catanese and Grunewald to Coxeter groups in general by classifying which of these are strongly real Beauville groups. As a consequence of this we determine which of these groups are Beauville groups.
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Twist-rigid Coxeter groups [PDF]
Geometry & Topology, 2010 We prove that two angle-compatible Coxeter generating sets of a given finitely generated Coxeter group are conjugate provided one of them does not admit any elementary twist. This confirms a basic case of a general conjecture which describes a potential solution to the isomorphism problem for Coxeter groups.
Caprace, Pierre-Emmanuel +1 more
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