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

Part of: Connections with homological algebra and category theory

Published online by Cambridge University Press:  10 July 2013

Dessislava H. Kochloukova ,
Conchita Martínez-Pérez  and
Brita E. A. Nucinkis
Dessislava H. Kochloukova
Affiliation:
Department of Mathematics, University of Campinas, 13083-859 Campinas, São Paulo, Brazil (desi@unicamp.br)
Conchita Martínez-Pérez
Affiliation:
Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain (conmar@unizar.es)
Brita E. A. Nucinkis
Affiliation:
School of Mathematics, University of Southampton, University Road, Southampton SO17 1BJ, UK
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Abstract

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We show that Brin's generalizations 2V and 3V of the Thompson–Higman group V are of type FP∞. Our methods also give a new proof that both groups are finitely presented.

Keywords

cohomological finiteness conditionsgeneralized Thompson's groups

MSC classification

Secondary: 20J05: Homological methods in group theory
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 56 , Issue 3 , October 2013 , pp. 777 - 804
Copyright
Copyright © Edinburgh Mathematical Society 2013 

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