The isomorphism problem for Higman-Thompson groups.

DOI10.1016/j.jalgebra.2011.07.026zbMath1247.20034arXiv1006.1759OpenAlexW2963839505MaRDI QIDQ765704

Enrique Pardo Espino

Publication date: 22 March 2012

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

Full work available at URL: https://arxiv.org/abs/1006.1759

zbMATH Keywords

isomorphism problemHigman-Thompson groupsfinitely presented simple groupsLeavitt algebras

Mathematics Subject Classification ID

Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (11)

\(L_{2,\mathbb Z}\otimes L_{2,\mathbb Z}\) does not embed in \(L_{2,\mathbb Z}\). ⋮ Bredon cohomological finiteness conditions for generalisations of Thompson groups. ⋮ TOPOLOGICAL FULL GROUPS OF -ALGEBRAS ARISING FROM -EXPANSIONS ⋮ Automorphisms of shift spaces and the Higman--Thompson groups: the one-sided case ⋮ Automorphisms of the generalized Thompson's group Tn,r$T_{n,r}$ ⋮ New embeddings between the Higman-Thompson groups ⋮ The Groupoid Approach to Leavitt Path Algebras ⋮ Étale Groupoids and Steinberg Algebras a Concise Introduction ⋮ Isomorphisms of Brin-Higman-Thompson groups. ⋮ Classifying spaces from Ore categories with Garside families ⋮ Leavitt path algebras: the first decade

Cites Work

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• The matrix type of purely infinite simple Leavitt path algebras.
• A construction which can be used to produce finitely presented infinite simple groups
• Introductory notes on Richard Thompson's groups
• The module type of homomorphic images
• Subgroups of finitely presented groups
• Isomorphisms between Leavitt algebras and their matrix rings
• The Module Type of a Ring
• Groups of Piecewise Linear Homeomorphisms

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