1. Departamento de Matemáticas , Universidad de Cantabria , Santander, Spain jon.gonzalez@unican.es
Abstract:
In this text, we study Kirillov's orbit method in the context of Lazard's p-saturable groups when p is an odd prime. Using this approach we prove that the orbit method works in the following cases: torsion free p-adic analytic pro-p groups of dimension smaller than p, pro-p Sylow subgroups of classical groups over ?p of small dimension and for certain families of finite p-groups.