Jason Mraz
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 Dec 21 awarded Nice Question Oct 16 awarded Notable Question Jun 11 awarded Popular Question Nov 26 comment Automorphism Group of a p-group : Looking for a Reference Found it ! Helped indeed ! Thanks! Nov 26 comment Automorphism Group of a p-group : Looking for a Reference Thanks ! I'll try to get the book! Nov 26 revised Automorphism Group of a p-group : Looking for a Reference deleted 91 characters in body Nov 25 comment Automorphism Group of a p-group : Looking for a Reference @DavidLHarden: But you don't want to prove something that is well known in a paper you are writing... By proving it, it's kind of saying that you are the one that figured this theorem out... But if you already saw this post... Have you got any idea for possible reference? In your first message I quoted, you said that it's well known, do you know where can I find it ? Thanks ! Nov 23 comment Automorphism Group of a p-group : Looking for a Reference Thanks @JSpecter! I'll go over your proof later today... The problem is that a friend of mine needs this fact for a paper he's writing, and I don't think a proof of a known fact is something that he would want to put in his paper (due to copyrighting rights) Thanks anyway ! Nov 23 comment Automorphism Group of a p-group : Looking for a Reference @Nick Gill: Thanks ! Sorry for my ignorance, but what is the $p'$ part of the result? (I can't understand what is $p'$ in your response) . I also have trouble getting into the link you just gave... It gives me an error... can you please fix it? Thanks ! Nov 23 comment Automorphism Group of a p-group : Looking for a Reference Geoff: I would try Mathscinet on Monday or something... I am not sure if this is due to Neumann or not... Thanks anyway! @mt: I couldn't find this theorem in the book you just mentioned... Thanks for the suggestion! Nov 23 asked Automorphism Group of a p-group : Looking for a Reference Oct 3 comment Number of Normal subgroups In a p-Group That's excatly the thing... I only need kind of "simple" estimates and bounds on the number of subgroups... I'll try to go over the lecture notes you sent and I might find something useful in them... Thanks a lot ! (I'll try to look for the book you mentioned) Oct 3 comment Number of Normal subgroups In a p-Group Dear @Alexander Gruber: 1) As far as I know, the Frattini subgroup is defined as the intersection of all the maximal subgroups. How can I use this (and the quotioent $P/\Phi(P)$ in order to verify the first bound you gave in your answer ? 2) Given an elementary abelian group of order $p^n$, the classification theorem tells us that it is isomorphic to $n$ copies of $\mathbb{Z} _p$ . If so, then I expect the number of normal subgroups to be $2^n$ ... What am I doing wrong? Thanks ! Oct 3 comment Number of Normal subgroups In a p-Group Dear @Nick Gill and @Alexander: Where can I find proofs for the facts you mention? I can't see this straight away... Can you give me some reference for the proof of these facts? Thanks ! Oct 2 awarded Supporter Oct 2 comment Number of Normal subgroups In a p-Group Dear @Nick: Thanks a lot ! I 'll be glad if you'll be able to tell me what do you mean by a "group of maximal class" ... After verifying this little detail, I'll reread your answer in order to check again that I understand it... Thanks again! Oct 2 comment Number of Normal subgroups In a p-Group @Alexander Chevov: Thanks ! I had no idea about the Hall Algebra notion... But I'm still skeptic about it... Have you got any paper the gives some more details about it? Thanks again! Oct 1 revised Number of Normal subgroups In a p-Group added 103 characters in body Oct 1 asked Number of Normal subgroups In a p-Group Aug 24 comment Linear Independence & Group Theory @Arturo: Thanks a lot !