Artin-Gruppen und Coxeter-Gruppen
1972/12/01 by Egbert Brieskorn, Kyoji Saito · 492 citations
Computer Science · Materials Science · Mathematics · #Artin group #Combinatorics #Coxeter element #Coxeter group #Mathematics #Pure mathematics #Quasicrystal Structures and Properties #semigroups and automata theory
paper · doi:10.1007/bf01406235
published in Inventiones mathematicae 17(4), 245-271 (Springer Science+Business Media)
openalex publication_date 1972/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25
Citations
Cited by
- Gaussian Groups are Torsion Free
- Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups
- The K ( π , 1 ) conjecture for Artin groups of spherical type
- Automatic Structures for Torus Link Groups
- A cube complex for virtual Artin groups
- L-algebras and their ideals: from simplicity to semidirect products
- The spherical growth series of amalgamated free products of infinite cyclic groups
- On the derivative at t = 1 of the skew-growth functions for Artin monoids
- Automorphism groups of some affine and finite type Artin groups
- Reflection Groups. A Contribution to the Handbook of Algebra
- Learning the Word Problem: Geodesic Lengths and Cryptographic Applications
- What Could Be a Simple Permutation?
- A view on elliptic integrals from primitive forms (Period integrals of type A2, B2 and G2
- Canonical Reduction Systems in Artin-Tits groups of spherical type
- q-Stability conditions on Calabi-Yau-X categories
- Fundamental techniques in the study of parabolic subgroups of Artin groups
- Acylindrical Visual Splittings and The Tits Alternative For Artin Groups
- Conjugacy invariants and rigidity in Garside groups: a uniformity phenomenon
- Global dimension function on stability conditions and Gepner equations
- On PM-monoids and braid PM-monoids
- Torsion invariants of complexes of groups
- First-order aspects of Artin groups
- Split Spetses for primitive reflection groups
- Metric systolicity and two-dimensional Artin groups
- Amenability and functoriality of right-LCM semigroup C*-algebras
- Lagrangian embeddings of the Klein bottle and combinatorial properties of mapping class groups
- Normalisateurs et groupes d'Artin-Tits de type sphérique
- A combination theorem for the twist conjecture for Artin groups
- Interval Structures, Hecke Algebras, and Krammer's Representations for the Complex Braid Groups B(e,e,n)
- Gcd-monoids arising from homotopy groupoids
- Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type
- The action dimension of Artin groups
- Groupes de réflexion, géométrie du discriminant et partitions non-croisées
- Garside and quadratic normalisation: a survey
- Growth partition functions for cancellative infinite monoids
- JSJ splittings for all Artin groups
- Garside categories, periodic loops and cyclic sets
- Fixed points of endomorphisms and relations between metrics in preGarside monoids
- On (twisted) Lawrence-Krammer representations
- Quasi-Euclidean tilings over 2-dimensional Artin groups and their applications
- Relative Garside elements of Artin monoids
- Left-Garside categories, self-distributivity, and braids
- Krammer representations for complex braid groups
- Groups of IG-type
- PreGarside monoids and groups, parabolicity, amalgamation, and FC property
- Questions on surface braid groups
- CRITICAL POINTS OF SMOOTH FUNCTIONS AND THEIR NORMAL FORMS
- On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties
- Braid groups: A survey
- Translation numbers in a Garside group are rational with uniformly bounded denominators
- An Invitation to Computational Homotopy
- Boundary quotient C*-algebras of semigroups
- Floer Theory of Higher Rank Quiver 3-folds
- The skew-growth function on the monoid of square matrices
- Admissible submonoids of Artin–Tits monoids
- K-Theory for Semigroup C*-Algebras and Partial Crossed Products. [europepmc]