FAQ
Tags
Prizes
Definitions
Links
All Problems
Random Solved
Random Open
If $G$ is an abelian group then can there exist an exact covering of $G$ by more than one cosets of different sizes? (i.e. each element is contained in exactly one of the cosets)
#274
:
[ErGr80]
group theory
,
covering systems
A problem of Herzog and Schönheim.
Additional thanks to
: Boris Alexeev and Dustin Mixon
Go