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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 !

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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
    
Thanks !!! Any other suggenestions? –  jason mfash May 28 '12 at 15:28

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