Distortion of wreath products in some finitely presented groups.

DOI10.2140/pjm.2006.228.53zbMath1150.20030arXivmath/0505288OpenAlexW2048696917MaRDI QIDQ996151

Sean Cleary

Publication date: 12 September 2007

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505288

zbMATH Keywords

wreath productsCayley graphsembeddingsrecursively presented groupsThompson group \(F\)infinite presentationsBaumslag groupsubgroup distortionscoarse metricrecursively generated groupssubgroups of finitely presented groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Extensions, wreath products, and other compositions of groups (20E22)

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On exactness and isoperimetric profiles of discrete groups, The automorphism group of Thompson's group \(F\): subgroups and metric properties., The Generation Problem in Thompson Group 𝐹, The Dehn function of Baumslag's metabelian group., Subgroup distortion in wreath products of cyclic groups., Distortion of wreath products in Thompson's group \(F\)., Interpreting the arithmetic in Thompson's group \(F\)., Knapsack problems in groups, Rational subsets and submonoids of wreath products.