Timeline for A group-theoretic perspective on Frankl's union closed problem
Current License: CC BY-SA 3.0
11 events
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| Apr 13, 2017 at 12:57 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Jan 10, 2014 at 12:07 | comment | added | Nick Gill | ... at which point the direction that @Russ suggests might work - you'd need to prove the statement for nilpotent groups. Having typed all that, I start to doubt that the reduction is really possible... | |
| Jan 10, 2014 at 12:05 | comment | added | Nick Gill | Were such a reduction possible, then one might be able to proceed by proving the statement for quasisimple groups (generalizing @Alireza's comment below), then proving it for central products of isomorphic quasisimples, and then the result would be true for groups with non-nilpotent generalized Fitting subgroup of $G$. In other words you'd be left with the situation $F^*(G)=F(G)$... | |
| Jan 10, 2014 at 12:03 | comment | added | Nick Gill | Is it conceivable that the following reduction might hold: Let $N$ be a normal subgroup of a group $G$. If $N$ contains an element $g$ of prime power order that is contained in at most half the subgroups of $N$, then $g$ is contained in at most half the subgroups of $G$? | |
| Jan 9, 2014 at 20:39 | answer | added | Russ Woodroofe | timeline score: 14 | |
| Jan 9, 2014 at 18:41 | answer | added | Alireza Abdollahi | timeline score: 10 | |
| Jan 9, 2014 at 17:51 | history | edited | Lee Mosher |
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| Jan 9, 2014 at 16:13 | history | edited | Gjergji Zaimi | CC BY-SA 3.0 |
added 54 characters in body
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| Jan 9, 2014 at 7:19 | comment | added | Gjergji Zaimi | @Noah, not that I know of. | |
| Jan 9, 2014 at 4:12 | comment | added | Noah Schweber | Is there any group $H_0$ such that the answer in the case $H=H_0$ is known? | |
| Jan 9, 2014 at 3:49 | history | asked | Gjergji Zaimi | CC BY-SA 3.0 |