Timeline for A finite $p$-group with certain properties
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Dec 22, 2015 at 17:46 | comment | added | Yakov | In the first Geoff Robinson's example (there $A=\Phi(G)$), the class of B is p-1<p and so his group does not satisfy (c). | |
| Nov 24, 2013 at 21:06 | vote | accept | Yassine Guerboussa | ||
| Nov 24, 2013 at 20:53 | history | edited | Yassine Guerboussa | CC BY-SA 3.0 |
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| Nov 24, 2013 at 20:50 | answer | added | Derek Holt | timeline score: 6 | |
| Nov 24, 2013 at 20:50 | comment | added | Yassine Guerboussa | This is exactly the case that I want to avoid. The question is not very well formulated, I will edit it. | |
| Nov 24, 2013 at 20:47 | comment | added | Geoff Robinson | As it stands, you do not exclude the possibility that $x \in A$ and $A = B$. I think the group $G = C_{p} \wr C_{p}$ satisfies these conditions with $A = B$ elementary Abelian of rank $p$ and any $x \in A$, any $y \in G \backslash A$. | |
| Nov 24, 2013 at 20:33 | history | edited | Yassine Guerboussa | CC BY-SA 3.0 |
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| Nov 24, 2013 at 20:06 | history | asked | Yassine Guerboussa | CC BY-SA 3.0 |