Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6424360 | European Journal of Combinatorics | 2013 | 7 Pages |
Abstract
In 1994 Dias da Silva and Hamidoune solved a long-standing open problem of ErdÅs and Heilbronn using the structure of cyclic spaces for derivatives on Grassmannians and the representation theory of symmetric groups. They proved that for any subset A of the p-element group Z/pZ (where p is a prime), at least min{p,m|A|âm2+1} different elements of the group can be written as the sum of m different elements of A. In this note we present an easily accessible simplified version of their proof for the case m=2, and explain how the method can be applied to obtain the corresponding inverse theorem.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Gyula Károlyi, Roland Paulin,