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The FPm conjecture for betabelian groups in small dimensions

Grant number: 06/00978-7
Support type: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 researcher:Dessislava Hristova Kochloukova
Grantee:Daniel Cariello
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil


The homological invariant Sigma^1(G), where G is afinitely generated metabelian group, was used to classify finitely presentable metabelian groups. The description of such groups was based in the geometric properties of Sigma^1(G). The FPm-Conjecture relates geometric properties of this invariant with the homological type FPm of G. The FP3-Conjecture was proved when G is a split extension of abelian groups. Algebric and geometric methods were used in this proof. The proposal of this work is to simplify the proof of FP3-Conjecture for discrete groups and if it is possible to generalize for dimension 4 (thus proving the FP4-Conjecture in the split extension case).

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Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
CARIELLO, Daniel. The FPm conjecture for betabelian groups in small dimensions. 2008. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica.

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