Generalized polygons and star graphs of cyclic presentations of groups (Q2672937)

scientific article; zbMATH DE number 7540612

Language	Label	Description	Also known as
English	Generalized polygons and star graphs of cyclic presentations of groups	scientific article; zbMATH DE number 7540612

Statements

instance of

scholarly article

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title

Generalized polygons and star graphs of cyclic presentations of groups (English)

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Journal of Combinatorial Theory. Series A

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publication date

13 June 2022

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full work available at URL

https://arxiv.org/abs/2105.06204

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zbMATH Keywords

cyclically presented group

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generalized polygon

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projective plane

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star graph

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building

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SQ-universal

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describes a project that uses

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Polygonal complexes and combinatorial group theory

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Orbihedra of nonpositive curvature

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An Infinite Family of 2-Groups with Mixed Beauville Structures

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Two-dimensional finite non-positively curved polyhedra of rank two

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Generalized triangle groups

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Quasiconvexity and relatively hyperbolic groups that split.

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Q3995743

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Circulants and their connectivities

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On shift dynamics for cyclically presented groups.

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Coherence, subgroup separability, and metacyclic structures for a class of cyclically presented groups

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On the Existence of Flat Planes in Spaces of Non-Positive Curvature

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Finitely presented simple groups and products of trees

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Groups acting on trees: From local to global structure

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Lattices in product of trees

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Finite and Infinite Quotients of Discrete and Indiscrete Groups

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Groups acting simply transitively on vertex sets of hyperbolic triangular buildings

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Groups acting simply transitively on the vertices of a building of type \(\tilde A_ 2\). I

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Groups acting simply transitively on the vertices of a building of type \(\tilde A_ 2\). II: The cases \(q=2\) and \(q=3\)

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Hyperbolicity of \(T(6)\) cyclically presented groups

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Aspherical group presentations

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Free Subgroups of Small Cancellation Groups

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Distinguished subgroups and quotients of hyperbolic groups

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Groups with balanced presentations

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On irreducible cyclic presentations

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Star Graphs, Projective Planes and Free Subgroups in Small Cancellation Groups

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On the SQ-universality of groups with special presentations

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The cyclically presented groups with relators \(x_ix_{i+k}x_{i+l}\).

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The nonexistence of certain generalized polygons

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On hyperbolic buildings

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Small cancellation theory and automatic groups

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Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)

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On Some Groups which cannot be Finitely Presented

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On planarity and colorability of circulant graphs

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On the T(q)-conditions of small cancellation theory

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On the SQ-universality of T(6)-groups

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Tadpole labelled oriented graph groups and cyclically presented groups.

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Planar Whitehead graphs with cyclic symmetry arising from the study of Dunwoody manifolds

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Q4344080

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The Fibonacci Groups

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Triangular hyperbolic buildings

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COCOMPACT ACTIONS ON HYPERBOLIC BUILDINGS

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Hyperbolic Triangular Buildings Without Periodic Planes of Genus 2

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Q3733675

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Groups acting on products of trees, tiling systems and analytic \(K\)-theory

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Combinatorial group theory.

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On homomorphisms onto finite groups

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Q3252716

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Isomorphism theorems for classes of cyclically presented groups

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The SQ-universality of hyperbolic groups

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Q3879435

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Star-complexes, and the dependence problems for hyperbolic complexes

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A lattice in a residually non-Desarguesian A∼2-building

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A finitely presented torsion-free simple group

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A Theorem in Finite Projective Geometry and Some Applications to Number Theory

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Q5657309

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Q4217275

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Combinatorial structure of some hyperbolic buildings

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Groups, periodic planes and hyperbolic buildings

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Cages—a survey

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JCTA.2022.105638

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Sitelinks

Mathematics(1 entry)

mardi Publication:2672937