Timeline for When is $\{s_2-s_1,s_3-s_2,s_1-s_3\}\cap S$ non-empty for any $s_1,s_2,s_3\in S$?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Sep 26, 2019 at 4:42 | history | edited | Seva | CC BY-SA 4.0 |
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| Sep 26, 2019 at 4:33 | comment | added | Seva | @YemonChoi: not necessarily, but if they are not pairwise distinct, then the property holds in a trivial way in view of the assumption $0\in S$. | |
| Sep 25, 2019 at 21:58 | comment | added | Yemon Choi | Just to clarify: when you test on a given triple $(s_1,s_2,s_3)$, are you assuming that these elements are distinct? | |
| Sep 25, 2019 at 17:45 | comment | added | Seva | @ThomasBloom: not that I thought of it much, but I think something special can be invented for $\mathbb F_2^n$; say, the set of all vectors with at least one of the first two coordinates equal to $0$. | |
| Sep 25, 2019 at 17:03 | comment | added | Thomas Bloom | Do you know of any construction in e.g. $\mathbb{F}_2^n$ which is not a coset progression? (I assume not or you would have mentioned it, just to clarify). | |
| Sep 25, 2019 at 15:36 | history | asked | Seva | CC BY-SA 4.0 |