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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

HOMOLOGICAL FINITENESS PROPERTIES OF FIBRE PRODUCTS

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Author(s):
Kochloukova, Dessislava H. [1] ; Lima, Francismar Ferreira [2]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas, UNICAMP, Campinas, SP - Brazil
[2] Tech State Univ Parana UTFPR, Curitiba, PR - Brazil
Total Affiliations: 2
Document type: Journal article
Source: QUARTERLY JOURNAL OF MATHEMATICS; v. 69, n. 3, p. 835-854, SEP 2018.
Web of Science Citations: 2
Abstract

We study the homological finiteness property FPn of fibre products. A homological version of the n - (n + 1) - (n + 2) Conjecture is suggested and solved in some cases. Though the Homological 1-2-3 Conjecture is still open, we prove a homological version of the Virtual Surjection Conjecture in the case of virtual surjection on pairs. (AU)

FAPESP's process: 16/05678-3 - Abstract groups, pro-p groups and Lie algebras of homological type FPm
Grantee:Dessislava Hristova Kochloukova
Support Opportunities: Regular Research Grants