On the DKSS conjecture for finite abelian groups[May 2011]
DATE:2011-05-24
Speaker:
Zhiwei Sun, Nanjing University
Title:
On the DKSS conjecture for finite abelian groups
Venue:
Room B924, Zhixin Building
Time:
11:00-12:00, Wednesday, May 25, 2011
Abstract:
In additive combinatorial number theory, the DKSS conjecture raised by Dasgupta, Karolyi, Serra and Szegedy is as follows: For any finite abelian group G with |G|>1, if k is a positive integer smaller than the least prime divisor of |G|, then for any k-subset {a_1,...,a_k} of G and elements b_1,...,b_k of G (not necessarily distinct) there is a permutation i_1,...,i_k of 1,...,k such that a_1+b_{i_1},...,a_k+b_{i_k} are (pairwise) distinct. We will introduce the backgrounds for this conjecture, and focus on the recent solution for abelian p-groups.
All ARE WELCOME!
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