Timeline for Sidon sets in finite groups
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 22, 2020 at 22:09 | comment | added | Padraig Ó Catháin | Not necessarily, though the character theory works out much more nicely when the group is abelian, so difference sets have been studied more intensively in that case. | |
| Jan 19, 2020 at 2:25 | comment | added | user6976 | @PadraigÓCatháin: This is for Abelian groups only? | |
| Jan 19, 2020 at 2:22 | comment | added | user6976 | @Seva: Apparently there is a gap. The constant lower bound is known for $Sid(G)/\sqrt[3]{|G|}$ and the constant upper bound is known for $Sid(G)/\sqrt{|G|}$, | |
| Jan 17, 2020 at 16:45 | comment | added | Padraig Ó Catháin | Sets which meet the upper bound with equality are called planar difference sets, and are closely related to finite projective planes. I am not aware of work which addresses your question, but this might give you some additional terms to search for. | |
| Jan 16, 2020 at 10:40 | comment | added | Seva | @MarkSapir: seems it does not. | |
| Jan 16, 2020 at 10:10 | comment | added | user6976 | @Seva: This paper does not answer the question. Right? | |
| Jan 15, 2020 at 6:47 | comment | added | Seva | The paper of Babai and Sos "Sidon Sets in Groups and Induced Subgraphs of Cayley Graphs" (European J. Comb. (1985) 6, pp.101-114) is highly relevant. | |
| Jan 15, 2020 at 3:08 | comment | added | user6976 | Did you try $S_n$? | |
| Jan 14, 2020 at 22:55 | history | asked | Chain Markov | CC BY-SA 4.0 |