Results 21 to 30 of about 51,088 (236)
Higher Braid Groups and Regular Semigroups from Polyadic-Binary Correspondence
Mathematics, 2021 In this note, we first consider a ternary matrix group related to the von Neumann regular semigroups and to the Artin braid group (in an algebraic way).
Steven Duplij
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Basic questions on Artin-Tits groups [PDF]
, 2012 This paper is a short survey on four basic questions on Artin-Tits groups: the torsion, the center, the word problem, and the cohomology ($K( ,1)$ problem). It is also an opportunity to prove three new results concerning these questions: (1) if all free of infinity Artin-Tits groups are torsion free, then all Artin-Tits groups will be torsion free; (2)
Eddy Godelle, Luis Paris
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No Uncountable Polish Group Can be a Right-Angled Artin Group
Axioms, 2017 We prove that if G is a Polish group and A a group admitting a system of generators whose associated length function satisfies: (i) if 0 < k < ω , then l g ( x ) ≤ l g ( x k ) ; (ii) if l g ( y ) < k < ω and x
Gianluca Paolini, Saharon Shelah
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Relative hyperbolicity and Artin groups [PDF]
Geometriae Dedicata, 2007 This paper considers the question of relative hyperbolicity of an Artin group with regard to the geometry of its associated Deligne complex. We prove that an Artin group is weakly hyperbolic relative to its finite (or spherical) type parabolic subgroups if and only if its Deligne complex is a Gromov hyperbolic space. For a 2-dimensional Artin group the
Charney, Ruth, Crisp, John
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Topological model of composite fermions in the cyclotron band generator picture: New insights
Results in Physics, 2018 A combinatorial group theory in the braid groups is correlated with the unusual “anyon” statistic of particles in 2D Hall system in the fractional quantum regime well.
Beata Staśkiewicz
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Coxeter transformation groups and reflection arrangements in smooth manifolds [PDF]
, 2015 Artin groups are a natural generalization of braid groups and are well-understood in certain cases. Artin groups are closely related to Coxeter groups.
Das, Ronno, Deshpande, Priyavrat
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Cohomology of Coxeter groups and Artin groups [PDF]
Mathematical Research Letters, 2000 For an irreducible Coxeter system \((W,S)\), with the group \(W\) finite, the authors construct an explicit free resolution \((C_*,\delta_*)\) of the trivial \(\mathbb{Z}[W]\)-module \(\mathbb{Z}\). In dimension \(k\), \(C_k\) is the free \(\mathbb{Z}[W]\)-module on the flags of subsets of \(S\) of cardinality \(k\). If \(n\) is the rank of \(W\), then
DE CONCINI, Corrado, SALVETTI M.
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Matrix and tensor witnesses of hidden symmetry algebras
Journal of High Energy Physics, 2023 Permutation group algebras, and their generalizations called permutation centralizer algebras (PCAs), play a central role as hidden symmetries in the combinatorics of large N gauge theories and matrix models with manifest continuous gauge symmetries ...
Sanjaye Ramgoolam, Lewis Sword
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Artin HNN-extensions virtually embed in Artin groups [PDF]
Bulletin of the London Mathematical Society, 2008 An Artin HNN-extension is an HNN-extension of an Artin group in which the stable letter conjugates a pair of suitably chosen subsets of the standard generating set. We show that some finite index subgroup of an Artin HNN-extension embeds in an Artin group. We also obtain an analogous result for Coxeter groups.
Hsu, T., Leary, I.J.
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Integer Solutions of Integral Inequalities and 𝐻-Invariant Jacobian Poisson Structures
Advances in Mathematical Physics, 2011 We study the Jacobian Poisson structures in any dimension invariant with respect to the discrete Heisenberg group. The classification problem is related to the discrete volume of suitable solids.
G. Ortenzi +2 more
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