Geodesic
Characterizing Sidon sets by interpolation properties of subsets
Colin C. Graham1 ; Kathryn E. Hare2
1 Department of Mathematics University of British Columbia Vancouver, B.C., Canada Mailing address: RR\#1-D-156 Bowen Island, B.C. V0N 1G0, Canada
2 Department of Pure Mathematics University of Waterloo Waterloo, Ont. N2L 3G1, Canada
Colloquium Mathematicum, Tome 112 (2008) no. 2, pp. 175-199.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Pisier's characterization of Sidon sets as containing proportional-sized quasi-independent subsets is given a sharper form for groups with only a finite number of elements having orders a power of 2. No such improvement is possible for a general Sidon subset of a group having an infinite number of elements of order 2. The method used also gives several sharper forms of Ramsey's characterization of Sidon sets as containing proportional-sized $I_0$-subsets in a uniform way, again in groups containing but a finite number of elements of order 2.
DOI : 10.4064/cm112-2-1
Keywords: pisiers characterization sidon sets containing proportional sized quasi independent subsets given sharper form groups only finite number elements having orders power improvement possible general sidon subset group having infinite number elements order method gives several sharper forms ramseys characterization sidon sets containing proportional sized subsets uniform again groups containing finite number elements order

Colin C. Graham 1 ; Kathryn E. Hare 2

1 Department of Mathematics University of British Columbia Vancouver, B.C., Canada Mailing address: RR\#1-D-156 Bowen Island, B.C. V0N 1G0, Canada
2 Department of Pure Mathematics University of Waterloo Waterloo, Ont. N2L 3G1, Canada 
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Colin C. Graham; Kathryn E. Hare. Characterizing Sidon sets by
 interpolation properties of subsets. Colloquium Mathematicum, Tome 112 (2008) no. 2, pp. 175-199. doi : 10.4064/cm112-2-1. http://geodesic.mathdoc.fr/articles/10.4064/cm112-2-1/

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