关于有限群中限制集合求和的逆 Erdos-Heilbronn 问题
组合数学
2013-10-08 v2
摘要
我们综述了加性组合数学中关于 Cauchy-Davenport 定理和 Erdos-Heilbronn 问题的正向与逆向问题的相关结果。我们提出了一个关于非阿贝尔群中逆 Erdos-Heilbronn 问题的开放猜想。我们将 Dias da Silva-Hamidoune 定理的一个逆向结论推广到了 为合数时的 ，并将该结果推广至非阿贝尔群。
引用
@article{arxiv.1210.6509,
title = {On the Inverse Erdos-Heilbronn Problem for Restricted Set Addition in Finite Groups},
author = {Suren M. Jayasuriya and Steven D. Reich and Jeffrey Paul Wheeler},
journal= {arXiv preprint arXiv:1210.6509},
year = {2013}
}
备注
This paper is being submitted to Involve (the work was done while two of the authors were undergraduates)