# Derived Series & Frattini Series of a p-group/pro-p group

Does someone know of any work done regarding the connection between the derived series & the frattini series of a pro-p group/p -group ?

[ I'm aware of the general fact that the frattini-series can be regarded as the p-derived series ]

What about some connection between central series and derived ?

any varation on this theme will be also appreciated!

Does someone know of any results regarding estimating number of groups in a certain class by using these series?

You may want to have a look at Csaba Schneider's papers on the derived series of finite $p$-groups for some results in this direction. – Primoz May 27 '12 at 10:32