A dynamical definition of f.g. virtually free groups

DOI10.1142/S0218196716500053zbMath1376.20034arXiv1510.02638OpenAlexW3101884031MaRDI QIDQ2796981

Daniel T. Bennett, Collin Bleak

Publication date: 30 March 2016

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

Full work available at URL: https://arxiv.org/abs/1510.02638

zbMATH Keywords

group actionsgeometric actionsThompson groupsco\(\mathcal{CF}\) groupsLehnert's conjecture

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Generators, relations, and presentations of groups (20F05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Cites Work

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• Centralizers in the R. Thompson group \(V_n\).
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• THE GROUPS OF RICHARD THOMPSON AND COMPLEXITY
• The co-word problem for the Higman-Thompson group is context-free
• GROUPS WITH CONTEXT-FREE CO-WORD PROBLEM