On the baker's map and the simplicity of the higher dimensional Thompson groups \(nV\).

DOI10.5565/PUBLMAT_54210_07zbMath1236.20034arXiv0904.2624MaRDI QIDQ987150

Matthew G. Brin

Publication date: 13 August 2010

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.2624

zbMATH Keywords

finitely presented groupsinfinite simple groupsThompson groupsbaker mapsproducts of transpositions

Mathematics Subject Classification ID

Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (12)

Diffeomorphism groups of tame Cantor sets and Thompson-like groups ⋮ Étale groupoids arising from products of shifts of finite type ⋮ Higher dimensional generalizations of the Thompson groups ⋮ Twisted Brin-Thompson groups ⋮ PERMUTATION-BASED PRESENTATIONS FOR BRIN’S HIGHER-DIMENSIONAL THOMPSON GROUPS ⋮ Some undecidability results for asynchronous transducers and the Brin-Thompson group $2V$ ⋮ Infinite 32‐generated groups ⋮ Simple groups separated by finiteness properties ⋮ A family of non-isomorphism results. ⋮ Isomorphisms of Brin-Higman-Thompson groups. ⋮ The word problem of the Brin-Thompson group is \textsf{coNP}-complete ⋮ Topological Full Groups of Étale Groupoids

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