The ubiquity of Sidon sets that are not Io
We prove that every infinite, discrete abelian group admits a pair of Io sets whose union is not Io. In particular, this implies that every such group contains a Sidon set that is not Io.
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2016
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| Sorozat: | Acta scientiarum mathematicarum
82 No. 3-4 |
| Kulcsszavak: | Sidon halmaz, Io halmaz, Kronecker halmaz, Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/46323 |
| Tartalmi kivonat: | We prove that every infinite, discrete abelian group admits a pair of Io sets whose union is not Io. In particular, this implies that every such group contains a Sidon set that is not Io. |
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| Terjedelem/Fizikai jellemzők: | 509-518 |
| ISBN: | 0001-6969 |