Sesión Álgebra, Álgebra Conmutativa, Teoría de GruposHomological growth of soluble pro-p groups of finite homological type
Aline Pinto
University of Brasilia , Brazil - Esta dirección de correo electrónico está siendo protegida contra los robots de spam. Necesita tener JavaScript habilitado para poder verlo.
In the general context of pro-\(p\) groups, the properties of being finitely generated and finitely presented can be translated as the homological properties \(FP_1\) and \(FP_2\), respectively. Highest homological finiteness property \(FP_{m}\) is a generalization of finite presentability in this context.
In this talk we will present results obtained jointly with D. Kochloukova for soluble pro-\(p\) groups that satisfies highest homological finiteness property \(FP_{m}\). We will see we have an upper bound for the torsion free rank of the \(i\)-th homology groups of finite index subgroups in \(G\), for \(i\) up to a dimension in terms of the homological type of \(G\).