Self-similar structures and homological type FPm

• Grant number: 16/05271-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
• Start date: September 05, 2016
• End date: October 04, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Dessislava Hristova Kochloukova
• Grantee: Dessislava Hristova Kochloukova
• Visiting researcher: Said Najati Sidki
• Visiting researcher institution: Universidade de Brasília (UnB). Instituto de Ciências Exatas, Brazil
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

We aim to construct examples of self-similar metabelian groups of type FPm and check whether they have finite states. As well, we will study when "wreath" Lie algebras have homological type FPm or are finitely presented. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

KOCHLOUKOVA, DESSISLAVA H.; SIDKI, SAID N.. Self-similar groups of type FPn. Geometriae Dedicata, v. 204, n. 1, p. 241-264, FEB 2020. (16/05271-0, 16/05678-3)

FUTORNY, VYACHESLAV; KOCHLOUKOVA, DESSISLAVA H.; SIDKI, SAID N.. On self-similar Lie algebras and virtual endomorphisms. MATHEMATISCHE ZEITSCHRIFT, v. 292, n. 3-4, p. 1123-1156, AUG 2019. (16/05271-0, 14/09310-5, 16/05678-3)