The lower p-series of analytic pro-p groups and Hausdorff dimension
Let (Formula presented.) be a (Formula presented.) -adic analytic pro- (Formula presented.) group of dimension (Formula presented.), with lower (Formula presented.) -series (Formula presented.). We produce an approximate series which descends regularly in strata and whose terms deviate from (Formula presented.) in a uniformly bounded way. This brings to light a new set of rational invariants (Form
