Characterizing Sidon sets by interpolation properties of subsets

Colin 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 -