Artin-Gruppen und Coxeter-Gruppen
From MaRDI portal
Publication:2554422
DOI10.1007/BF01406235zbMath0243.20037WikidataQ56502329 ScholiaQ56502329MaRDI QIDQ2554422
Publication date: 1972
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142172
Free semigroups, generators and relations, word problems (20M05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Other geometric groups, including crystallographic groups (20H15) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Deformations of analytic structures (32G99)
Related Items
Braid pictures for Artin groups, Pop-stack-sorting for Coxeter groups, EXTRACTION OF ROOTS IN GARSIDE GROUPS, Alexander’s and Markov’s theorems in dimension four, The Cayley Graphs of Coxeter and Artin Groups, Birth of Garside groups in memory of Patrick Dehornoy, Prime \(L\)-algebras and right-angled Artin groups, Interval groups related to finite Coxeter groups. I, Presentations of Dehn quandles, The geometry of discrete \(L\)-algebras, Acylindricity of the action of right-angled Artin groups on extension graphs, Virtual Artin groups, Braid groups and symplectic Steinberg groups, Universal K-matrices for quantum Kac-Moody algebras, q-stability conditions on Calabi–Yau-𝕏 categories, The centralizer of a Coxeter element, The groupoid approach to equilibrium states on right LCM semigroup C∗$^*$‐algebras, Boundary quotient C*‐algebras of semigroups, Right‐angled Artin subgroups of Artin groups, Extra-large type Artin groups are hierarchically hyperbolic, Left regular representations of Garside categories I. C*-algebras and groupoids, Unnamed Item, The paraunitary group of a von Neumann algebra, Generalization of the Dehornoy-Lafont order complex to categories: application to exceptional braid groups, Unnamed Item, Amenability and functoriality of right-LCM semigroup C*-algebras, Combinatorics of extended affine root systems (type A1), POSITIVE PRESENTATIONS OF SURFACE BRAID GROUPS, Elementary equivalence in Artin groups of finite type, Presentations for the punctured mapping class groups in terms of Artin groups, Gröbner–Shirshov bases and their calculation, Cataland: Why the Fuss?, The center of thin Gaussian groups, Artin groups and the fundamental groups of some moduli spaces, On a conjecture in Artin groups, On the Conjugacy Problem for Cyclic Extensions of Free Groups, One-generator braces and indecomposable set-theoretic solutions to the Yang–Baxter equation, Ordering Garside groups, On Singular Artin Monoids and Contributions to Birman's Conjecture, The mysterious geometry of Artin groups, Quasicentralizer of LCM-Homomorphisms, The Natural Embedding of Positive Singular Artin Monoids, Automatic Structures for Torus Link Groups, Biautomatic structures in systolic Artin groups, Interval Garside structures for the complex braid groups 𝐵(𝑒,𝑒,𝑛), Canonical forms of positive braids, Hyperbolic structures for Artin-Tits groups of spherical type, Matrix Representations of Artin Groups, Distinguished Bases and Monodromy of Complex Hypersurface Singularities, Coherent presentations of Artin monoids, ACYLINDRICAL HYPERBOLICITY OF ARTIN–TITS GROUPS ASSOCIATED WITH TRIANGLE-FREE GRAPHS AND CONES OVER SQUARE-FREE BIPARTITE GRAPHS, Bijective 1-cocycles, braces, and non-commutative prime factorization, Parabolic subgroups of large-type Artin groups, L-algebras and topology, Book review of: P. Dehornoy et al., Foundations of Garside theory, Unsolvability of the occurrence problem in Artin groups of finite type, Solution of the problem of equality and conjugacy of words in a certain class of Artin groups, On the Artin semigroups, On the centralizer of generic braids, Commensurability in Artin groups of spherical type, Computation of centralizers in braid groups and Garside groups., Artin groups of spherical type up to isomorphism., On Tit's conjecture and other questions concerning Artin and generalized Artin groups, The \(K(\pi,1)\) problem for the affine Artin group of type \(\widetilde B_n\) and its cohomology., Torus embeddings and deformation of simple singularities of space curves, Artin groups associated to infinite Coxeter groups, Artin-Tits groups with CAT(0) Deligne complex., Life and work of Egbert Brieskorn (1936--2013), The top-cohomology of Artin groups with coefficients in rank-1 local systems over \(\mathbb{Z}\), Extended affine root systems. III: Elliptic Weyl groups, The homology of the Milnor fiber for classical braid groups., A note on group extensions and proper 3-realizability, Parabolic subgroups of Artin groups, Centralizers of parabolic subgroups of Artin groups of type \(A_l\), \(B_l\), and \(D_l\), Garside groups are strongly translation discrete., A necessary condition for representatives of elements of Artin groups of dihedral type to be geodesic., On loxodromic actions of Artin-Tits groups, Artin groups of Euclidean type, \(K(\pi,1)\) and word problems for infinite type Artin-Tits groups, and applications to virtual braid groups., Acylindrical hyperbolicity and Artin-Tits groups of spherical type, The complement of the bifurcation variety of a simple singularity, Homology of Gaussian groups., Normal forms of random braids., Flat connections and Brauer type algebras., Nichols algebras over groups with finite root system of rank two. I., Conjugacy problem for braid groups and Garside groups., Solvability of the word problem for certain groups, On the monoid in the fundamental group of type \(\mathbf B_{\mathbf{ii}}\)., Affine braid groups: a better platform than braid groups for cryptology?, Complete positive group presentations., Artin relations in the mapping class group, Periodic elements in Garside groups., On the penetration distance in Garside monoids, Deformations of fat points of Boardman type 2,0, Normalizer and Artin group of spherical type., The structure group of a generalized orthomodular lattice, Infinite groups, Artin braids and the groups and spaces connected with them, Weighted sheaves and homology of Artin groups, Twisted conjugacy in braid groups., A normal form for a class of monoids including the singular braid monoids, Morphisms from Hecke algebras to graphic Temperley-Lieb algebras, Asymptotic combinatorics of Artin-Tits monoids and of some other monoids, Algorithmic recognition of quasipositive braids of algebraic length two., One-sided orthogonality, orthomodular spaces, quantum sets, and a class of Garside groups, Uniqueness of Coxeter structures on Kac-Moody algebras, Alternating normal forms for braids and locally Garside monoids., Parabolic subgroups acting on the additional length graph, L-algebras with duality and the structure group of a set-theoretic solution to the Yang-Baxter equation, On refined filtration by supports for rational Cherednik categories \(\mathcal {O}\), Derived Picard groups of selfinjective Nakayama algebras, Torsion in the quotient group of the Artin-Brieskorn braid group and regular Springer numbers, Dual braid monoids, Mikado braids and positivity in Hecke algebras, A word problem in Artin semigroups, The \(L\)-algebra of Hurwitz primes, Classical solutions of the quantum Yang-Baxter equation, Zero loci of skew-growth functions for dual Artin monoids, Gcd-monoids arising from homotopy groupoids, Limit elements in the configuration algebra for a cancellative monoid, Geometric quotients of link groups, Basic results on braid groups., Einfach-elliptische Singularitäten, Integral cohomology of the Milnor fibre of the discriminant bundle associated with a finite Coxeter group, Polyhedra dual to the Weyl chamber decomposition: a précis, On the classification of CAT(0) structures for the 4-string braid group., On the cohomology of Artin groups in local systems and the associated Milnor fiber., Automorphism groups of some pure braid groups., Von Neumann algebras, \(L\)-algebras, Baer*-monoids, and Garside groups, On the fundamental group of the space of cubic surfaces, Translation numbers in a Garside group are rational with uniformly bounded denominators., Growth functions associated with Artin monoids of finite type., A simple proof of the faithfulness of the Lawrence-Krammer-Paris representation., Geometric monodromy groups of simple singularities, Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity., Gaussian groups are torsion free, Monoids in the fundamental groups of the complement of logarithmic free divisors in \(\mathbb C^3\)., Left-Garside categories, self-distributivity, and braids, Symmetrical subgroups of Artin groups, Minimal length elements in twisted conjugacy classes of finite Coxeter groups., A classification of weighted homogeneous Saito free divisors, Growth functions for Artin monoids., Artin groups, rewriting systems and three-manifolds, Higher Bruhat orders and relations in the braid groups, Non-positively curved aspects of Artin groups of finite type, Occurrence problem in Artin groups of finite type, A simple presentation for the mapping class group of an orientable surface, Artin groups and infinite Coxeter groups, On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties, Geometry of bifurcation diagrams, Partially commutative Artin-Coxeter groups and their arboreal structure., Model-theoretic and algorithmic questions in group theory, Injective morphisms between Artin-Tits groups, On a linear structure of the quotient variety by a finite reflexion group, Explicit presentations for the dual braid monoids, Decomposition of Garside groups and self-similar \(L\)-algebras, The 4-string braid group $B_4$ has property RD and exponential mesoscopic rank, Commutative \(L\)-algebras and measure theory, Braids and crossed modules, The dual braid monoid, On the injectivity of the Vassiliev homomorphism of singular Artin monoids, C*-envelopes for operator algebras with a coaction and co-universal C*-algebras for product systems, Logarithmic vector fields and freeness of divisors and arrangements: new perspectives and applications. Abstracts from the workshop held January 24--30, 2021 (online meeting), Garside and Quadratic Normalisation: A Survey, \(L\)-algebras and three main non-classical logics, A conjecture about Artin-Tits groups., Self-similar monoids related to Hahn groups, Structure groups of \(L\)-algebras and Hurwitz action, Virtual and universal braid groups, their quotients and representations, Coxeter pop-tsack torsing, A Deligne complex for Artin monoids, Twisted Lawrence-Krammer representations, On some torus knot groups and submonoids of the braid groups, On fusion control in FC type Artin-Tits groups, Interval garside structures related to the affine Artin groups of type \(\widetilde{A}\), Cyclic amalgams, HNN extensions, and Garside one-relator groups, An introduction to right-angled Artin groups., On Lawrence-Krammer representations., A divisibility result in combinatorics of generalized braids, \(\mathrm C^*\)-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type, On the genericity of loxodromic actions, Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type, The structure group of a non-degenerate effect algebra, Bijective combinatorics of positive braids, Braids via term rewriting, \(L\)-effect algebras, Parabolic subgroups in FC-type Artin groups, Coherent presentations of monoids with a right-Noetherian Garside family, Cohomology of affine Artin groups and applications, THE BRAID ROOK MONOID, Linear \(L\)-algebras and prime factorization, Inversion formula for the growth function of a cancellative monoid., Curves intersecting in a circuit pattern, The adjoint group of a Coxeter quandle, THE TITS CONJECTURE FOR LOCALLY REDUCIBLE ARTIN GROUPS, Discrete Morse theory and a reformulation of theK(π,1)-conjecture, \(K(\pi,1)\) conjecture for Artin groups., ORDERINGS ON ARTIN–TITS GROUPS, THE SUBWORD REVERSING METHOD, An Isoperimetric Inequality for Artin Groups of Finite Type, Dilation theory for right LCM semigroup dynamical systems, Crossing-changeable braids from chromatic configuration spaces, PALINDROMES AND ORDERINGS IN ARTIN GROUPS, On monoids related to braid groups, Solution of the generalized conjugacy problem for words in pure subgroups of Artin groups of finite type., Conjugacy in Garside groups. II: Structure of the ultra summit set., THE CONJUGACY PROBLEM IN SMALL GAUSSIAN GROUPS, Algorithms for Garside calculus, The skew-growth function on the monoid of square matrices., Infinite examples of cancellative monoids that do not always have least common multiple., Admissible submonoids of Artin-Tits monoids., Braid groups of imprimitive complex reflection groups., Double canonical bases, Non-crossing partitions of type \((e,e,r)\)., A presentation for the mapping class group of a nonorientable surface, Transverse properties of parabolic subgroups of Garside groups, Reflection Groups, Braids, their Properties and Generalizations, The complex Lorentzian Leech lattice and the bimonster (II), Classifying spaces from Ore categories with Garside families, Proof of the \(K(\pi,1)\) conjecture for affine Artin groups, Right \(l\)-groups, geometric Garside groups, and solutions of the quantum Yang-Baxter equation, Conjugacy in singular Artin monoids, Lectures on Artin Groups and the $$K(\pi ,1)$$ Conjecture, Artin groups of types \(F_4\) and \(H_4\) are not commensurable with that of type \(D_4\), Helly meets Garside and Artin, Fixed Points of Endomorphisms and Metrics in preGarside Monoids, Floer theory of higher rank quiver \(3\)-folds, Subgroup conjugacy problem for Garside subgroups of Garside groups, On \(\mathbb{P} M\)-monoids and braid \(\mathbb{P} M\)-monoids, Linearity of some low-complexity mapping class groups, GRAPH PRODUCTS OF RIGHT CANCELLATIVE MONOIDS, On parabolic subgroups of Artin-Tits groups of spherical type, On the minimal positive standardizer of a parabolic subgroup of an Artin-Tits group, Metric systolicity and two-dimensional Artin groups, Garside combinatorics for Thompson's monoid \(F^+\) and a hybrid with the braid monoid \(B_{\infty }^{+}\), Acylindrical hyperbolicity for Artin groups of dimension \(2\), Simultaneous semi-stable reduction for curves with ADE singularities, Abstract homomorphisms from locally compact groups to discrete groups, On a theorem of Artin. II, CONJUGACY IN ARTIN GROUPS AND APPLICATION TO THE CLASSIFICATION OF SURFACES, Three-dimensional FC Artin groups are CAT(0)., PREGARSIDE MONOIDS AND GROUPS, PARABOLICITY, AMALGAMATION, AND FC PROPERTY, On the automaticity of singular Artin monoids of finite type, Property \(R_\infty\) for some spherical and affine Artin-Tits groups, The conjugacy stability problem for parabolic subgroups in Artin groups, The \(K(\pi,1)\)-conjecture implies the center conjecture for Artin groups, Configuration spaces of labeled particles and finite Eilenberg-MacLane complexes, On parabolic submonoids of a class of singular Artin monoids, Euclidean Artin-Tits groups are acylindrically hyperbolic, Global dimension function on stability conditions and Gepner equations, Garside families in Artin-Tits monoids and low elements in Coxeter groups., \(K\)-theory for semigroup \(C^*\)-algebras and partial crossed products, On the Toeplitz algebras of right-angled and finite-type Artin groups, Groupes de Garside
Cites Work
