Cone types and geodesic languages for lamplighter groups and Thompson's group \(F\).

DOI10.1016/j.jalgebra.2005.11.016zbMath1115.20032arXivmath/0410616OpenAlexW1968193997MaRDI QIDQ2509265

Jennifer Taback, Murray J. Elder, Sean Cleary

Publication date: 19 October 2006

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

Full work available at URL: https://arxiv.org/abs/math/0410616

zbMATH Keywords

generating setsregular languagesThompson group \(F\)lamplighter groupscounter languagesgeodesic cone types

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (4)

Random Sampling of Trivial Words in Finitely Presented Groups ⋮ Geodesic growth in virtually abelian groups ⋮ Dead ends on wreath products and lamplighter groups ⋮ Unusual geodesics in generalizations of Thompson's group \(F\).

Cites Work

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• Automatic structures, rational growth, and geometrically finite hyperbolic groups
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• FOREST DIAGRAMS FOR ELEMENTS OF THOMPSON'S GROUP F
• ON THE PROPERTIES OF THE CAYLEY GRAPH OF RICHARD THOMPSON'S GROUP F
• Combinatorial properties of Thompson’s group 𝐹
• Dead end words in lamplighter groups and other wreath products
• The lamplighter group as a group generated by a 2-state automaton, and its spectrum

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