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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.)

Growth of Homology of Centre-by-metabel ian Pro-p Groups

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Author(s):
Kochloukova, Dessislava H. [1] ; Pinto, Aline G. S. [2]
Total Authors: 2
Affiliation:
[1] State Univ Campinas UNICAMP, Dept Math, BR-13083859 Campinas, SP - Brazil
[2] Univ Brasilia, Dept Math, BR-70297400 Brasilia, DF - Brazil
Total Affiliations: 2
Document type: Journal article
Source: CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES; v. 72, n. 1, p. 203-224, FEB 2020.
Web of Science Citations: 0
Abstract

For a centre-by-metabelian pro-p group G of type FP2m, for some m >= 1, we show that sup(M is an element of A) rk H-i(M, Z(p)) < infinity, for all 0 <= i <= m, where A is the set of all subgroups of p-power index in G and, for a finitely generated abelian pro-p group V, rk V = dim V circle times Z(p) Q(p). (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