It is well-known that for a prime and integer , the maximum possible size of a sum-free subset of the elementary abelian group is . However, the matching stability result is known for only. We consider the first open case showing that if is a sum-free subset with , then there are a subgroup of size and an element such that .

中文翻译：

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Z5n 中的大无和集

众所周知，对于素数和整数 ，基本交换群的无和子集的最大可能大小为 。然而，匹配稳定性结果仅是已知的。我们考虑第一个开放案例，表明如果 是 的无和子集，则存在一个大小为 的子群和一个使得 的元素。