Groups and Combinatorial Number Theory

2004/11/12 by Zhi-Wei Sun, Sun, Zhi-Wei
Mathematics · #05A05 #11B25 #11B75 #11P70 #20D60 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #math.CO #math.GR #msc:05A05 #msc:11B25 #msc:11B75 #msc:11P70 #msc:20D60

paper · pdf · doi:10.48550/arxiv.math/0411289

23 pages

arxiv created 2004/11/12 · arxiv updated 2009/12/01

Abstract

In this talk we introduce several topics in combinatorial number theory which are related to groups; the topics include combinatorial aspects of covers of groups by cosets, and also restricted sumsets and zero-sum problems on abelian groups. A survey of known results and open problems on the topics is given in a popular way.

Related

• A Walk Through Some Newer Parts of Additive Combinatorics
• Problems in additive number theory, VI: Sizes of sumsets
• Zero sum sets in abelian groups
• Open problems about sumsets in finite abelian groups: minimum sizes and critical numbers
• Extremal problems and the combinatorics of sumsets