论文标题
循环群的小倍加倍
Small doubling in cyclic groups
论文作者
论文摘要
我们对有限循环组的集合$ a $进行全面描述，以便$ | 2a | <\ frac94 | a | $;也就是说，我们表明，与此属性的任何集合都密集包含在（一维）coset进程中。这改善了Deshouillers-Freiman和Balasubramanian-Pandey的早期结果。
We give a comprehensive description of the sets $A$ in finite cyclic groups such that $|2A|<\frac94|A|$; namely, we show that any set with this property is densely contained in a (one-dimensional) coset progression. This improves earlier results of Deshouillers-Freiman and Balasubramanian-Pandey.
