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Bad upward elements in infinite Coxeter groups

advg, 2004
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Perkins, Sarah B., Rowley, Peter J.
openaire   +1 more source

Elements of Order Coxeter Number +1 in Chevalley Groups

Canadian Journal of Mathematics, 1982
Following the notation and the definitions in [1], let L(K) be the Chevalley group of type L over a field K, W the Weyl group of L and h the Coxeter number, i.e., the order of Coxeter elements of W. In a letter to the author, John McKay asked the following question: If h + 1 is a prime, is there an element of order h + 1 in L(C)?
openaire   +1 more source

Symmetrical maps arising from regular coxeter elements of linear groups

Geometriae Dedicata, 1988
Let \(\Gamma\) be the group \(SL(2n+1,q)\), where q is an odd prime power, with trivial center. Taking \(\Lambda\) and \(\Lambda\) ' to be conjugacy classes of \(\Gamma\), the author constructs a finite connected graph \(G=G(V,E)\) with vertex set \(V=\Lambda\) and edges \((\gamma_ 1,\gamma_ 2)\in E\) precisely when \(\gamma_ 1\gamma_ 2\in \Lambda '.\)
openaire   +2 more sources

Coxeter elements

2001
Richard Kane   +2 more
openaire   +1 more source

Lyashko–Looijenga morphisms and primitive factorizations of Coxeter elements

Mathematische Annalen
This paper investigates the enumeration and structural properties of primitive factorizations of Coxeter elements in irreducible, well-generated, complex reflection groups. The study builds upon \textit{D. Bessis}' interpretation of the noncrossing lattice \(\mathrm{NC}(W)\) as a geometric object associated with the Lyashko-Looijenga (LL) morphism [Ann.
openaire   +2 more sources

Coxeter submodular functions and deformations of Coxeter permutahedra

Advances in Mathematics, 2020
Federico Ardila
exaly  

Chiral Gold Nanowires with Boerdijk–Coxeter–Bernal Structure

Journal of the American Chemical Society, 2014
Yi-Han Zhu, Cheng Shang, Zhi-Pan Liu
exaly  

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