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?
Thanks in advance !