The Deligne complex for the four-strand braid group

DOI10.1090/S0002-9947-03-03425-1zbMath1077.20054OpenAlexW1508081933MaRDI QIDQ4813831

Ruth M. Charney

Publication date: 13 August 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03425-1

zbMATH Keywords

Coxeter groupsbraid groupsCoxeter systemsArtin groupsreflection groupsCAT(0) geometryCoxeter arrangementsaspherical spaces\(K(\pi1)\) problemCAT(1) complexeshomotopy types of hyperplane arrangementsMoussong metricspherical Deligne complexes

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Reflection groups, reflection geometries (51F15)

Related Items

The 4-string braid group $B_4$ has property RD and exponential mesoscopic rank, The braided Thompson's groups are of type \(F_\infty\), An introduction to right-angled Artin groups., Artin-Tits groups with CAT(0) Deligne complex., Second mod 2 homology of Artin groups, Relative hyperbolicity and Artin groups., The mysterious geometry of Artin groups, The \(K(\pi,1)\)-conjecture implies the center conjecture for Artin groups

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