Growth of certain non-positively curved cube groups

DOI10.1006/eujc.1999.0372zbMath1009.20050OpenAlexW2046839383MaRDI QIDQ1580677

Guennadi A. Noskov

Publication date: 10 February 2003

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/caa81a90b3f9f5a75cfecaaa8e12e88b20b68903

zbMATH Keywords

finitely generated groupslength functionssmall cancellation groupsaffine Coxeter groupsfalsification by fellow traveller propertygeodesic wordsgrowth functions of groupsnon-positively curved cube groupsrationality of growth functions

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07) Asymptotic properties of groups (20F69) Hyperbolic groups and nonpositively curved groups (20F67) Groups acting on trees (20E08)

Related Items (6)

Finite index subgroups of graph products. ⋮ Growth series for vertex-regular CAT(0) cube complexes. ⋮ GRAPH PRODUCTS AND CANNON PAIRS ⋮ Counting subgraphs in fftp graphs with symmetry ⋮ Finite generating sets of relatively hyperbolic groups and applications to geodesic languages ⋮ INJECTIVE HULLS OF CERTAIN DISCRETE METRIC SPACES AND GROUPS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Small cancellation theory and automatic groups
• The combinatorial structure of cocompact discrete hyperbolic groups
• Growth series of finite extensions of \(Z^ n \)are rational
• The growth of nonpositively curved triangles of groups
• The geometry of cube complexes and the complexity of their fundamental groups
• Growth series for the group \(\langle x,y\mid x^{-1}yx=y^ l\rangle\)
• Automatic structures, rational growth, and geometrically finite hyperbolic groups
• Orbihedra of nonpositive curvature
• Rational and transcendental growth series for the higher Heisenberg groups
• On problems related to growth, entropy, and spectrum in group theory
• The orders of the finite Chevalley groups
• Ends of Group Pairs and Non-Positively Curved Cube Complexes

This page was built for publication: Growth of certain non-positively curved cube groups