MIT Combinatorics Seminar
Combinatorial Aspects of Covers of Groups
by Cosets or Subgroups
ZhiWei Sun (Nanjing University)
Friday, Arpil 21, 2006 4:30 PM; Building 2 Room 105;
ABSTRACT

If a group $G$ is a union of finitely many left cosets $a_1G_1,\ldots,a_kG_k$
of subgroups $G_1,\ldots,G_k$, then the system $\{a_iG_i\}_{i=1}^k$ is said to be
a cover of $G$. In this talk we give a survey of results
on extremal problems concerning covers of groups, and introduce
progress on the famous HerzogSch\"onheim conjecture
which states that if $\{a_iG_i\}_{i=1}^k\ (1 

