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On Covering Groups With Proper Subgroups, Collin B. Moore
On Covering Groups With Proper Subgroups, Collin B. Moore
MSU Graduate Theses
In this paper, we explore groups that can be expressed as a union of proper subgroups. Using “covering number” to denote the minimal number of proper subgroups required to cover a group, we explore the nature of groups with covering numbers 3 and 4, while also finding covering numbers for p-groups, dihedral, and generalized dihedral groups.