学术活动

# On the DKSS Conjecture for Finite Abelian Groups

2017/11/13 17:27 孙智伟（南京大学） 点击：[]

if $A = \{a_1, a_2,\ldots, a_k\}$ is a subset of $G$ with $|A|=k<p(G)$, and $b_1, b_2,\ldots, b_k$ are (not necessarily distinct) elements of $G$ then there is a permutation $\pi\in S_k$ such that $a_1b_{\pi(1)},\ldots, a_kb_{\pi(k)}$ are pairwise distinct.

In this talk we introduce progress on the above DKSS conjecture and a related conjecture of Snevily in additive combinatorics.