# Characterizing Sidon sets by interpolation properties of subsets

Colin C. Graham; Kathryn E. Hare

Colloquium Mathematicae (2008)

- Volume: 112, Issue: 2, page 175-199
- ISSN: 0010-1354

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topColin C. Graham, and Kathryn E. Hare. "Characterizing Sidon sets by interpolation properties of subsets." Colloquium Mathematicae 112.2 (2008): 175-199. <http://eudml.org/doc/284319>.

@article{ColinC2008,

abstract = {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 I₀-subsets in a uniform way, again in groups containing but a finite number of elements of order 2.},

author = {Colin C. Graham, Kathryn E. Hare},

journal = {Colloquium Mathematicae},

keywords = {Sidon set; interpolation set; set; -Kronecker set},

language = {eng},

number = {2},

pages = {175-199},

title = {Characterizing Sidon sets by interpolation properties of subsets},

url = {http://eudml.org/doc/284319},

volume = {112},

year = {2008},

}

TY - JOUR

AU - Colin C. Graham

AU - Kathryn E. Hare

TI - Characterizing Sidon sets by interpolation properties of subsets

JO - Colloquium Mathematicae

PY - 2008

VL - 112

IS - 2

SP - 175

EP - 199

AB - 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 I₀-subsets in a uniform way, again in groups containing but a finite number of elements of order 2.

LA - eng

KW - Sidon set; interpolation set; set; -Kronecker set

UR - http://eudml.org/doc/284319

ER -

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