New just-infinite pro-p groups of finite width and subgroups of the Nottingham group

We use the action of the Nottingham group on the completion of its Lie algebra to construct new examples of just-infinite pro-p groups of finite width whose graded Lie algebras with respect to the lower central series are isomorphic to . The groups constructed are non-linear and thus answer the question posed in [Comm. Algebra 30 (2002) 1293]. The proof of nonlinearity uses a new description of the centralizers of elements of order p in the Nottingham group and the concept of Hausdorff dimension.