Cohomological finiteness conditions and centralisers in generalisations of Thompson's group \(V\)

DOI10.1515/forum-2014-0176zbMath1388.20070arXiv1309.7858OpenAlexW2964288013WikidataQ57460859 ScholiaQ57460859MaRDI QIDQ312781

Conchita Martínez-Pérez, Francesco Matucci, Brita E. A. Nucinkis

Publication date: 9 September 2016

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.7858

zbMATH Keywords

Thompson groupscohomological finiteness conditions

Mathematics Subject Classification ID

Simple groups (20E32) Geometric group theory (20F65) Topological methods in group theory (57M07) Homological methods in group theory (20J05) Infinite automorphism groups (20B27)

Related Items (9)

Bredon cohomological finiteness conditions for generalisations of Thompson groups. ⋮ Étale groupoids arising from products of shifts of finite type ⋮ Irrational-slope versions of thompson's groups T and V ⋮ Finiteness properties for relatives of braided Higman-Thompson groups ⋮ A description of \(\operatorname{Aut} (d V_n)\) and \(\operatorname{Out} (d V_n)\) using transducers ⋮ Simple groups separated by finiteness properties ⋮ Classifying spaces from Ore categories with Garside families ⋮ Almost-automorphisms of trees, cloning systems and finiteness properties ⋮ Topological Full Groups of Étale Groupoids

Cites Work

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• The Brin-Thompson groups \(sV\) are of the type \(\text F_\infty\).
• Presentations for the higher-dimensional Thompson groups \(nV\).
• Operad groups and their finiteness properties
• Higher dimensional Thompson groups.
• Isomorphisms of Brin-Higman-Thompson groups.
• Centralizers in the R. Thompson group \(V_n\).
• Bredon cohomological finiteness conditions for generalisations of Thompson groups.
• Groups of Piecewise Linear Homeomorphisms
• On Thompson's group T and algebraic K-theory
• Cohomological finiteness properties of the Brin–Thompson–Higman groups 2V and 3V
• Finiteness properties of groups

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