MathDB
Group with exactly n subgroups of index 2

Source: IMS 2007

May 12, 2007
group theoryabstract algebrasuperior algebrasuperior algebra unsolved

Problem Statement

Suppose there exists a group with exactly nn subgroups of index 2. Prove that there exists a finite abelian group GG that has exactly nn subgroups of index 2.
Back to ProblemsView on AoPS