127 citations · 565 across the 184 of their papers we have counts for
5 papers · 1 filter
Exterior algebras and two conjectures on finite abelian groups
Tao Feng, Zhi-Wei Sun, Qing Xiang
Let G be a finite abelian group with |G|>1. Let a_1,...,a_k be k distinct elements of G and let b_1,...,b_k be (not necessarily distinct) elements of G, where k is a positive integ…
Finite covers of groups by cosets or subgroups
Zhi-Wei Sun
This paper deals with combinatorial aspects of finite covers of groups by cosets or subgroups. Let be left cosets in a group such that co…
Groups and Combinatorial Number Theory
Zhi-Wei Sun
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 als…
On covers of abelian groups by cosets
Günter Lettl, Zhi-Wei Sun
Let G be any abelian group and {a_sG_s}_{s=1}^k be a finite system of cosets of subgroups G_1,...,G_k. We show that if {a_sG_s}_{s=1}^k covers all the elements of G at least m time…
On the Herzog-Schönheim conjecture for uniform covers of groups
Zhi-Wei Sun
Let G be any group and be left cosets in G. In 1974 Herzog and Schönheim conjectured that if $\Cal A=\{a_iG_i\}_{i=1}^k$ is a partition of G then the (fin…