Sum-free set in finite abelian groups
Number Theory
2007-05-23 v2
Abstract
Let A be a subset of a finite abelian group G. We say that A is sum-free if there is no solution of the equation x + y = z, with x, y, z belonging to the set A. In this paper we shall characterise the largest possible sum-free subsets of G in case the order of G is only divisible by primes which are congruent to 1 modulo 3. The result is based on a recent result of Ben Green and Imre Ruzsa.
Cite
@article{arxiv.math/0502374,
title = {Sum-free set in finite abelian groups},
author = {R. Balasubramanian and Gyan Prakash},
journal= {arXiv preprint arXiv:math/0502374},
year = {2007}
}
Comments
22 pages, no figures, some corrections made, expanded exposition, a minor remars on k-l free sets added, bibliography updated