| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Campinas, Dept Math, Campinas - Brazil
[2] Heinrich Heine Univ Dusseldorf, Math Inst, Dusseldorf - Germany
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | MONATSHEFTE FUR MATHEMATIK; v. 194, n. 3, p. 555-575, MAR 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We define and study a pro-p version of Sidki's weak commutativity construction. This is the pro-p group X-p(G) generated by two copies G and G(psi) of a pro-p group, subject to the defining relators {[}g, g(psi)] for all g is an element of G. We show for instance that if G is finitely presented or analytic pro-p, then X-p(G) has the same property. Furthermore we study properties of the non-abelian tensor product and the pro-p version of Rocco's construction.( H). We also study finiteness properties of subdirect products of pro-p groups. In particular we prove a pro-p version of the (n -1)-n -(n + 1) Theorem. (AU) | |
| FAPESP's process: | 15/22064-6 - Homological finiteness properties |
| Grantee: | Luis Augusto de Mendonça |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 18/23690-6 - Structures, representations, and applications of algebraic systems |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |