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Coxeter groups are almost convex

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Publication:1814109
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DOI10.1007/BF00147303zbMath0794.20051OpenAlexW2011008337MaRDI QIDQ1814109

Michael Shapiro, Michael W. Davis

Publication date: 25 June 1992

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00147303

zbMATH Keywords

Coxeter groupsCayley graphgenerating setalmost convex groups


Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Discontinuous groups of transformations (57S30)


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Automata, reduced words and Garside shadows in Coxeter groups., Polygon posets and the weak order of Coxeter groups, Intrinsic tame filling functions are equivalent to intrinsic diameter functions, Kazhdan–Lusztig cells in planar hyperbolic Coxeter groups and automata, Semistability of Artin and Coxeter groups, A non-Hopfian almost convex group., The finite antichain property in Coxeter groups., \(k\)-weakly almost convex groups and \(\pi_ 1^ \infty \widetilde M^ 3\), A finiteness property and an automatic structure for Coxeter groups



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