Surface subgroups of Coxeter and Artin groups.

DOI10.1016/j.jpaa.2003.10.011zbMath1057.20031OpenAlexW2137401377MaRDI QIDQ1434769

Alan W. Reid, Darren D. Long, Cameron McA. Gordon

Publication date: 12 July 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2003.10.011

zbMATH Keywords

Coxeter groupsword hyperbolic groupsArtin groupsvirtually free groupssurface groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (15)

Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups. ⋮ Embedding right-angled Artin groups into graph braid groups. ⋮ Simplicial nonpositive curvature ⋮ Hyperbolic surface subgroups of one-ended doubles of free groups ⋮ Commutator subgroups of twin groups and Grothendieck's cartographical groups ⋮ Right‐angled Artin subgroups of Artin groups ⋮ SURFACE SUBGROUPS OF RIGHT-ANGLED ARTIN GROUPS ⋮ Embeddings between partially commutative groups: two counterexamples. ⋮ RAAGs in diffeos ⋮ Co-contractions of graphs and right-angled Artin groups. ⋮ Surface subgroups from homology. ⋮ SURFACE SUBGROUPS OF GRAPH PRODUCTS OF GROUPS ⋮ First-order aspects of Coxeter groups ⋮ Surface subgroups from linear programming ⋮ Morse subgroups and boundaries of random right-angled Coxeter groups

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