On representations of Artin groups and the Tits conjecture

DOI10.1006/jabr.1994.1312zbMath0822.20041OpenAlexW2035796211WikidataQ123197562 ScholiaQ123197562MaRDI QIDQ1340254

Stephen P. Humphries

Publication date: 5 October 1995

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1994.1312

zbMATH Keywords

braid groupsrepresentationsgenerating setsTits conjectureCoxeter matrixcommutator relationsArtin groups of small typesubgroups of automorphisms of polynomial algebras

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Representations of groups as automorphism groups of algebraic systems (20F29)

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Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups. ⋮ INDECOMPOSABLE SURFACE BUNDLES OVER SURFACES ⋮ Special cube complexes revisited: a quasi-median generalization ⋮ Linearity of graph products ⋮ Right‐angled Artin subgroups of Artin groups ⋮ Algorithmic problems for free-Abelian times free groups. ⋮ RAAGs in diffeos ⋮ THE TITS CONJECTURE FOR LOCALLY REDUCIBLE ARTIN GROUPS ⋮ Co-contractions of graphs and right-angled Artin groups. ⋮ On the profinite topology of right-angled Artin groups. ⋮ Coherence, subgroup separability, and metacyclic structures for a class of cyclically presented groups ⋮ ACTIONS, LENGTH FUNCTIONS, AND NON-ARCHIMEDEAN WORDS ⋮ Presentations for the punctured mapping class groups in terms of Artin groups ⋮ Coxeter groups are virtually special ⋮ Commensurability of graph products ⋮ Centraliser dimension of partially commutative groups. ⋮ On systems of equations over free partially commutative groups ⋮ Limit groups over partially commutative groups and group actions on real cubings

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