A family of non-isomorphism results.

DOI10.1007/S10711-009-9423-9zbMath1213.20029arXiv0807.4955OpenAlexW1983398701MaRDI QIDQ976825

Daniel Lanoue, Collin Bleak

Publication date: 16 June 2010

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4955

zbMATH Keywords

Rubin theoremgroups of germshigher dimensional Thompson groups

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Simple groups (20E32) Geometric group theory (20F65) Other groups related to topology or analysis (20F38) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Multiply transitive infinite groups (20B22)

Related Items (15)

Diffeomorphism groups of tame Cantor sets and Thompson-like groups ⋮ Embeddings of right-angled Artin groups into higher-dimensional Thompson groups ⋮ Étale groupoids arising from products of shifts of finite type ⋮ Some embeddings between symmetric R. thompson groups ⋮ Classification of Thompson related groups arising from Jones' technology II ⋮ Higher dimensional generalizations of the Thompson groups ⋮ Twisted Brin-Thompson groups ⋮ Some isomorphism results for Thompson-like groups \(V_n(G)\) ⋮ PERMUTATION-BASED PRESENTATIONS FOR BRIN’S HIGHER-DIMENSIONAL THOMPSON GROUPS ⋮ A description of \(\operatorname{Aut} (d V_n)\) and \(\operatorname{Out} (d V_n)\) using transducers ⋮ Infinite 32‐generated groups ⋮ Topological full groups of ample groupoids with applications to graph algebras ⋮ Cohomological finiteness properties of the Brin–Thompson–Higman groups 2V and 3V ⋮ Isomorphisms of Brin-Higman-Thompson groups. ⋮ The word problem of the Brin-Thompson group is \textsf{coNP}-complete

Cites Work

• Unnamed Item
• Presentations for the higher-dimensional Thompson groups \(nV\).
• On the baker's map and the simplicity of the higher dimensional Thompson groups \(nV\).
• The Chameleon groups of Richard J. Thompson: Automorphisms and dynamics
• Higher dimensional Thompson groups.

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