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A homological invariant and Richard Thompson's group

Grant number: 06/01872-8
Support Opportunities:Scholarships in Brazil - Master
Effective date (Start): November 01, 2006
Effective date (End): July 31, 2008
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Dessislava Hristova Kochloukova
Grantee:Lonardo Rabelo
Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil


Using methods from Combinatorial Group Theory, as for example, HNN extensions and associated trees, to apply the Meinert criteria in order to study the Homological properties of the Richard Thompson Group G which has interesting characterists as to have homological type FP_infinity i.e. the trivial Z[G]-module Z has a free resolution with all modules in the resolution being finitely generated, G has infinity cohomological dimension and the cohomology of G with coeficients in Z[G] is trivial in every dimension.

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Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
RABELO, Lonardo. A Richard Thompson group and its homotopical sigma invariant. 2008. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.

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