R. Balasubramanian, Gyan Prakash
Published 2005-02-17, updated 2005-12-06Version 2
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.
Comments: 22 pages, no figures, some corrections made, expanded exposition, a minor remars on k-l free sets added, bibliography updated
On the number of weighted subsequences with zero-sum in a finite abelian group
On sumsets in ${\Bbb F}_2^n$
On Perfect Bases in Finite Abelian Groups
![QR code for arXiv:math/0502374 [math.NT]](http://oss.arxitics.com/images/favicon.svg)