Timeline for Subgroups of the union of conjugates
Current License: CC BY-SA 3.0
9 events
when toggle format | what | by | license | comment | |
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Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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Jun 2, 2016 at 20:42 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
Dec 19, 2015 at 15:36 | answer | added | Yakov | timeline score: -1 | |
Dec 12, 2014 at 15:58 | comment | added | Derek Holt | I am really not sure about that - I would not like to bet either way on what happens for general finite solvable groups, for example. | |
Dec 12, 2014 at 14:45 | comment | added | Pablo | @DerekHolt this is great! Do you know what happens if we allow $G$ to be any finite group and not just a $p$-group? | |
Dec 12, 2014 at 13:40 | comment | added | Derek Holt | I think this is true with $a_k=1/k$ i.e. $|L| \le |H|$ in this situation. It can be proved by induction on $|G|$. Choose a normal subgroup $N$ of $G$ with $|N|=p$, and apply induction to $G/N$ distinguishing between the cases $N \le H$ and $N \cap H=1$ (note that $L \cap N=1$ in the second case). | |
S Dec 12, 2014 at 12:11 | history | suggested | Sam Jones | CC BY-SA 3.0 |
Formatted link correctly.
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Dec 12, 2014 at 12:07 | review | Suggested edits | |||
S Dec 12, 2014 at 12:11 | |||||
Dec 12, 2014 at 10:37 | history | asked | Pablo | CC BY-SA 3.0 |