The further chameleon groups of Richard Thompson and Graham Higman: Automorphisms via dynamics for the Higman-Thompson groups~\(G_{n,r}\)

DOI10.1090/MEMO/1510MaRDI QIDQ6619638

Alfonso Navas, Peter J. Cameron, Collin Bleak, Yonah Maissel, Feyishayo Olukoya

Publication date: 16 October 2024

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

automorphism groupstransducersHigman-Thompson groupsrational groupchameleon groups

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) 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) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Cites Work

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• The automorphism group of Thompson's group \(F\): subgroups and metric properties.
• Operad groups and their finiteness properties
• The road coloring problem
• The isomorphism problem for Higman-Thompson groups.
• A family of non-isomorphism results.
• Automorphisms of generalized Thompson groups
• Introductory notes on Richard Thompson's groups
• The Chameleon groups of Richard J. Thompson: Automorphisms and dynamics
• Some isomorphism results for Thompson-like groups \(V_n(G)\)
• Higher dimensional Thompson groups.
• Isomorphisms of Brin-Higman-Thompson groups.
• Bredon cohomological finiteness conditions for generalisations of Thompson groups.
• Automorphisms of shift spaces and the Higman--Thompson groups: the one-sided case
• Synchronizing Automata and the Černý Conjecture
• Endomorphisms and automorphisms of the shift dynamical system
• Finiteness properties of groups
• Automorphisms of the generalized Thompson's group Tn,r$T_{n,r}$

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