RT Journal Article
T1 Probabilistically-like nilpotent groups
A1 Palacín Cruz, Daniel
AB The main goal of the paper is to present a general model theoretic framework to understand a result of Shalev on probabilistically finite nilpotent groups. We prove that a suitable group where the equation [x_1,...,x_k]=1 holds on a wide set, in a model theoretic sense, is an extension of a nilpotent group of class less than k by a uniformly locally finite group. In particular, this result applies to amenable groups, as well as to suitable model-theoretic families of definable groups such as groups in simple theories and groups with finitely satisfiable generics.
PB Elsevier
SN 0021-8693
YR 2022
FD 2022
LK https://hdl.handle.net/20.500.14352/98553
UL https://hdl.handle.net/20.500.14352/98553
LA eng
NO D. Palacín, Probabilistically-like nilpotent groups, Journal of Algebra 606 (2022) 798–818. https://doi.org/10.1016/j.jalgebra.2022.05.010.
DS Docta Complutense
RD 11 abr 2025