Discrete groups generated by reflections
From MaRDI portal
Publication:1840101
DOI10.2307/1968753zbMath0010.01101OpenAlexW2327138680WikidataQ55919217 ScholiaQ55919217MaRDI QIDQ1840101
Publication date: 1934
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1968753
Related Items
IRREDUCIBLE COXETER GROUPS, Small‐volume hyperbolic manifolds constructed from Coxeter groups, On algorithmic problems in generalized tree structures of Coxeter groups, On problem of generalized conjugation of words in a generalized tree structures of Coxeter groups, On continuous billiard and quasigeodesic flows characterizing alcoves and isosceles tetrahedra, Reflection representations of Coxeter groups and homology of Coxeter graphs, From Singularities to Graphs, Hurwitz numbers for reflection groups. II: Parabolic quasi-Coxeter elements, Hurwitz orbits on reflection factorizations of parabolic quasi-Coxeter elements, Generators and Relations for Coxeter Groups, The smallest hyperbolic 6-manifolds, Some subgroups of SL(3, z) generated by involutions, Signature, positive Hopf plumbing and the Coxeter transformation (With appendix by Peter Feller and Livio Liechti), Rigidity of Coxeter groups, Spherical tetrahedra with rational volume, and spherical Pythagorean triples, Group representations and the Euler characteristic of elliptically fibered Calabi–Yau threefolds, On the limit set of root systems of Coxeter groups acting on Lorentzian spaces, Minimal Mutation-Infinite Quivers, Characterization of finite groups generated by reflections and rotations, Geometric approaches to braid groups and mapping class groups, Symmetries of Quotient Networks for Doubly Periodic Patterns on the Square Lattice, Reflection groups in algebraic geometry, Homology of some Artin and twisted Artin Groups, Crystallographic space groups in geometric algebra, Homology of even Artin kernels, Unnamed Item, Artin groups of spherical type up to isomorphism., Regular and semi-regular polytopes. III, Two extremal problems for Dirichlet-Voronoi domains, A proposal on culling \& filtering a Coxeter group for 4D, \( \mathcal{N} =1\) spacetime SUSY representations: revised, Exploring the tensor networks/AdS correspondence, On Schläfli's reduction formula, Spiegelungsgruppen und Aufzählung halbeinfacher Liescher Ringe, Red–green refinement of simplicial meshes in $d$ dimensions, The topological correctness of PL approximations of isomanifolds, Trace formulae for three-dimensional hyperbolic lattices and application to a strongly chaotic tetrahedral billiard, Clifford algebra unveils a surprising geometric significance of quaternionic root systems of Coxeter groups, Classification of finite groups generated by reflections and rotations, Euclidean simplices generating discrete reflection groups, Graphs and reflection groups, Orbit spaces of low-dimensional representations of simple compact connected Lie groups and extrema of a group-invariant scalar potential, On conjugacy finite sets of subgroups in some class of Coxeter groups, \((T)\)-structures over two-dimensional \(F\)-manifolds: formal classification, Polytopes associated with symmetry handling, Hyperbolic right-angled Coxeter groups with boundaries as a Sierpiński carpet and a Menger curve, New directions in representation theory., Imprimitive linear groups generated by elements containing an eigenspace of codimension two, Presentations for singly-cusped Bianchi groups, Cofinite hyperbolic Coxeter groups, minimal growth rate and Pisot numbers., Basic sets of invariant polynomials for finite reflection groups, Finite Hurwitz braid group actions on sequences of Euclidean reflections., Geometry of algebraic surfaces with symmetries, Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds. II, Topological Symmetry of Multi-shell Clusters, Representation of crystallographic subperiodic groups in Clifford's geometric algebra., The size of hyperbolic Coxeter simplex, On norm three vectors in integral Euclidean lattices. I, The growth function of Coxeter dominoes and 2-Salem numbers., \(K(\pi,1)\) conjecture for Artin groups., Rigidity of graded regular algebras, Root Systems for Asymmetric Geometric Representations of Coxeter Groups, Spherical Coxeter groups and hyperelliptic 3-manifolds, A combinatorial analysis of interacting diffusions, Unfoldings of doubly covered polyhedra and applications to space-fillers, Adaptive quadratures over volumes, Volume integrals for boundary element methods, Conjugacy in Garside groups. III: Periodic braids., On descriptions of products of simplices, Coxeter groups, On hyperbolic Coxeter polytopes with mutually intersecting facets, Adinkras from ordered quartets of \(BC_{4}\) Coxeter group elements and regarding 1,358,954,496 matrix elements of the gadget, Quaternionic Kleinian modular groups and arithmetic hyperbolic orbifolds over the quaternions, Hyperbolic reflection groups associated to the quadratic forms \(-3x_0^2+x_1^2+\cdots+x_n^2\)., Rational maximal tori, Random Walk in a Weyl Chamber, Classification of the finite \(n\)-generator transvection groups over \(\mathbb Z_2\)., Reflection groups of geodesic spaces and Coxeter groups, Donald in wonderland: the many-faceted life of H. S. M. Coxeter, The Tits Alternative for Spherical Generalized Tetrahedron Groups, All Finite Generalized Tetrahedron Groups, On a certain generator system of the ring of invariants of a finite reflection group, Rings of invariants of finite groups which are hypersurfaces. II, The center conjecture for spherical buildings of types \(F _{4}\) and \(E _{6}\), Coxeter orbits and eigenspaces of Frobenius, Some remarks on additional integrals of motion for some Hamiltonian systems invariant relatively to finite groups generated by reflections, Triangulating submanifolds: an elementary and quantified version of Whitney's method, Unnamed Item, Lectures on Artin Groups and the $$K(\pi ,1)$$ Conjecture, Coxeter energy of graphs, Cluster algebras from surfaces and extended affine Weyl groups, A Clifford algebraic framework for Coxeter group theoretic computations., Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds, On the material symmetry group of elastic crystals and the Born rule, On finite groups generated by pseudoreflections, Quantum-mechanical calculations in the algebraic group theory, Quantum-mechanical calculation of the orders of finite simple groups of Lie type, Geometry and Topology of String Junctions, Coxeter groups and nonuniform complexity, Symmetric presentations of Coxeter groups, Presentations of discrete groups, acting on simply connected manifolds, in terms of parametrized systems of Coxeter matrices - a systematic approach, Intersection of plane boundaries of a polytope with acute angles, The greatest mathematical paper of all time, Monoids on groups with BN-pairs, Poincaré's stated motivations for topology, A Decomposition Theorem for Higher Rank Coxeter Groups, Involutions and reflection subgroups of finite Coxeter groups., On a theorem of Artin. II, Kähler Differentials, the $T$-functor, and a Theorem of Steinberg, Complex equifocal submanifolds and infinite-dimensional anti-Kählerian isoparametric submanifolds, Matrix Representations of Artin Groups, Finite Reflection Groups, Buildings and shadows, Discrete groups generated by reflections in the faces of simplicial prisms in Lobachevskian spaces, Volume of a tetrahedron in terms of dihedral angles and circumradius, Discrete hyperbolic geometry, Discrete reflection groups in Lobachevskij spaces of large dimension, Piecewise linear methods for nonlinear equations and optimization, Spiegelungsgruppen und Aufzählung halbeinfacher Liescher Ringe., Hyperbolic Coxeter groups and minimal growth rates in dimensions four and five, Generalized reflection groups. II, On valuations invariant under a reductive group, Some questions in the geometric theory of invariants of groups generated by orthogonal and oblique reflections
