Isomorphisms of Brin-Higman-Thompson groups.

DOI10.1007/s11856-013-0042-7zbMath1329.20064arXiv1112.1606OpenAlexW3102629374MaRDI QIDQ2017113

Conchita Martínez-Pérez, Warren Dicks

Publication date: 25 June 2014

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.1606

zbMATH Keywords

rings of matricesHigman-Thompson groupsLeavitt algebrasBrin-Higman-Thompson groupspartially ordered rings with involution

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Simple groups (20E32) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Other matrix groups over rings (20H25) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Topological and ordered rings and modules (16W80)

Related Items (8)

Cohomological finiteness conditions and centralisers in generalisations of Thompson's group \(V\) ⋮ Étale groupoids arising from products of shifts of finite type ⋮ Higher dimensional generalizations of the Thompson groups ⋮ Automorphisms of shift spaces and the Higman--Thompson groups: the one-sided case ⋮ GENERALISATIONS OF LODAY’S ASSEMBLY MAPS FOR LAWVERE’S ALGEBRAIC THEORIES ⋮ Automorphisms of the generalized Thompson's group Tn,r$T_{n,r}$ ⋮ Leavitt path algebras: the first decade ⋮ Topological Full Groups of Étale Groupoids

Cites Work

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• The Chameleon groups of Richard J. Thompson: Automorphisms and dynamics
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• The module type of homomorphic images
• Bredon cohomological finiteness conditions for generalisations of Thompson groups.
• Modules without Invariant Basis Number
• Isomorphisms between Leavitt algebras and their matrix rings
• $K$-theory of Leavitt path algebras
• On the Reconstruction of Topological Spaces from Their Groups of Homeomorphisms
• Cohomological finiteness properties of the Brin–Thompson–Higman groups 2V and 3V
• On the Dimension of Modules and Algebras, VIII. Dimension of Tensor Products
• Elementary Divisors and Modules
• Finiteness properties of groups

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