A note on Minimal Coverings of Groups by Subgroups
A cover for a group is a finite set of subgroups whose union is the whole group. A cover is minimal if its cardinality is minimal. Minimal covers of finite soluble groups are categorised; in particular all but at most one of their members are maximal subgroups. A characterisation is given of groups with minimal covers consisting of abelian subgroups.
|Collections||ANU Research Publications|
|Source:||Journal of the Australian Mathematical Society|