MONOIDS ACTING ON TREES: ELLIPTIC AND WREATH PRODUCTS AND THE HOLONOMY THEOREM FOR ARBITRARY MONOIDS WITH APPLICATIONS TO INFINITE GROUPS

DOI10.1142/S0218196791000171zbMath0797.20053OpenAlexW2090194484MaRDI QIDQ3994322

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Publication date: 13 August 1992

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196791000171

zbMATH Keywords

wreath productshyperbolic metricgroups acting on treesmonoidslength functionsisometriescontractionsrooted treeaxiomsRhodes expansionDedekind height functionelliptic contractionselliptic product

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Geometric group theory (20F65) Free semigroups, generators and relations, word problems (20M05) Groups acting on trees (20E08) Representation of semigroups; actions of semigroups on sets (20M30)

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