Cohomological finiteness properties of the Brin–Thompson–Higman groups 2V and 3V

DOI10.1017/S0013091513000369zbMath1294.20065arXiv1009.4600MaRDI QIDQ5397393

Conchita Martínez-Pérez, Dessislava H. Kochloukova, Brita E. A. Nucinkis

Publication date: 20 February 2014

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.4600

zbMATH Keywords

generalized Thompson groupscohomological finiteness propertiesBrin-Thompson-Higman groupstopological finiteness properties of groups

Mathematics Subject Classification ID

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

Related Items (10)

Cohomological finiteness conditions and centralisers in generalisations of Thompson's group \(V\) ⋮ 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 ⋮ 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 $2V$ ⋮ Isomorphisms of Brin-Higman-Thompson groups. ⋮ Presentations of generalisations of Thompson's group \(V\)

Cites Work

• Presentations for the higher-dimensional Thompson groups \(nV\).
• A family of non-isomorphism results.
• Morse theory and finiteness properties of groups
• Higher dimensional Thompson groups.
• Presentations of higher dimensional Thompson groups.
• Finiteness properties of groups

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