Weak commutativity for pro-pgroups

Autor(es)

Kochloukova, Dessislava H. ^[1] ; Mendonca, Luis ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Dept Math, Campinas - Brazil

^[2] Heinrich Heine Univ Dusseldorf, Math Inst, Dusseldorf - Germany

• Tipo de documento: Artigo Científico
• Fonte: MONATSHEFTE FUR MATHEMATIK; v. 194, n. 3, p. 555-575, MAR 2021.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 15/22064-6 - Propriedades homológicas de finitude
• Beneficiário: Luis Augusto de Mendonça
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 18/23690-6 - Estruturas, representações e aplicações de sistemas algébricos
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Temático