Higher dimensional algebraic fiberings for pro-p groups

Autor(es)

Kochloukova, Dessislava H.

• Tipo de documento: Artigo Científico
• Fonte: CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES; v. N/A, p. 24-pg., 2023-12-22.

Resumo

We prove some conditions for higher-dimensional algebraic fibering of pro-p group extensions, and we establish corollaries about incoherence of pro-p groups. In particular, if 1 -> K -> G ->Gamma -> 1 is a short exact sequence of pro-p groups, such that Gamma contains a finitely generated, non-abelian, free pro-p subgroup, K a finitely presented pro-p group with N a normal pro-p subgroup of K such that K/N similar or equal to Z(p) and N not finitely generated as a pro-p group, then G is incoherent (in the category of pro-p groups). Furthermore, we show that if K is a finitely generated, free pro-p group with d(K) >= 2, then either Aut(0)(K) is incoherent (in the category of pro-p groups) or there is a finitely presented pro-p group, without non-procyclic free pro-p subgroups, that has a metabelian pro-p quotient that is not finitely presented, i.e., a pro-p version of a result of Bieri-Strebel does not hold. (AU)

• Processo FAPESP: 18/23690-6 - Estruturas, representações e aplicações de sistemas algébricos
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Temático