Restricted set addition in groups I: The classical setting

Authors
Lev, VF
Citation
Vf. Lev, Restricted set addition in groups I: The classical setting, J LOND MATH, 62, 2000, pp. 27-40
Citations number
12
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
ISSN journal
00246107 → ACNP
Volume
62
Year of publication
2000
Part
1
Pages
27 - 40
Database
ISI
SICI code
0024-6107(200008)62:<27:RSAIGI>2.0.ZU;2-F
Abstract
The existing results are surveyed and several new results are proved for th e cardinality of the restricted doubling 2 boolean AND A = {a' + a":a', a" epsilon A, a' not equal a"}, where A subset of or equal to G is a subset of the set of elements of an (additively written) group G. In particular, kno wn estimates for G = Z and G = Z/pZ are improved and a first-of-a-kind gene ral estimate valid for arbitrary G is given.