Abstract groups, pro-p groups and Lie algebras of homological type FPm

• Grant number: 16/05678-3
• Support Opportunities: Regular Research Grants
• Start date: September 01, 2016
• End date: August 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Dessislava Hristova Kochloukova
• Grantee: Dessislava Hristova Kochloukova
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The project contains 4 main problemas about the homological type FPm:1. Lie algebras of type FPm that are sub-algebras of finite direct sum of free Lie algebras2. pro-p version of group chi(G) i.e. the weak-commutativity group defined by Sidki3. The homological type FPm of the group E(G) defined recently by Dantas and Sidki4. Homological properties of the fibre product in group theory (AU)

Scientific publications

(9)

(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)

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)

KOCHLOUKOVA, DESSISLAVA H.; LIMA, FRANCISMAR FERREIRA. HOMOLOGICAL FINITENESS PROPERTIES OF FIBRE PRODUCTS. QUARTERLY JOURNAL OF MATHEMATICS, v. 69, n. 3, p. 835-854, SEP 2018. (16/05678-3)

KOCHLOUKOVA, DESSISLAVA H.; PINTO, ALINE G. S.. Growth of Homology of Centre-by-metabel ian Pro-p Groups. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, v. 72, n. 1, p. 203-224, FEB 2020. (16/05678-3)

KOCHLOUKOVA, DESSISLAVA. Uncountably many non-commensurable pro-p groups of homological type FPk but not FPk+1. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, v. 29, n. 7, p. 1219-1234, NOV 2019. (16/05678-3)

KOCHLOUKOVA, DESSISLAVA. Homological and homotopical finiteness properties of the group epsilon(G). MONATSHEFTE FUR MATHEMATIK, v. 186, n. 1, p. 93-109, MAY 2018. (16/05678-3)

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)

KOCHLOUKOVA, D. H.; MARTINEZ-PEREZ, C.. Subdirect sums of Lie algebras. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, v. 166, n. 1, p. 147-171, JAN 2019. (16/05678-3)

BRIDSON, MARTIN R.; KOCHLOUKOVA, DESSISLAVA H.. Weak commutativity and finiteness properties of groups. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, v. 51, n. 1, p. 168-180, FEB 2019. (16/05678-3)

KOCHLOUKOVA, DESSISLAVA H.; LIMA, FRANCISMAR FERREIRA. On the Bieri-Neumann-Strebel-Renz invariants of residually free groups. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, v. 63, n. 3, p. 23-pg., 2020-08-01. (16/05678-3)