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Dec
21 |
awarded | Nice Question |
Oct
16 |
awarded | Notable Question |
Jun
11 |
awarded | Popular Question |
Nov
26 |
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Automorphism Group of a p-group : Looking for a Reference
Found it ! Helped indeed ! Thanks! |
Nov
26 |
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Automorphism Group of a p-group : Looking for a Reference
Thanks ! I'll try to get the book! |
Nov
26 |
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Automorphism Group of a p-group : Looking for a Reference
deleted 91 characters in body |
Nov
25 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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
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Number of Normal subgroups In a p-Group
added 103 characters in body |
Oct
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asked | Number of Normal subgroups In a p-Group |
Aug
24 |
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Linear Independence & Group Theory
@Arturo: Thanks a lot ! |