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

Abstract

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.

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.