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Subgroups

Source: IMS 2014 - Day2 - Problem7

October 4, 2014
group theoryabstract algebrasuperior algebrasuperior algebra unsolved

Problem Statement

Let GG be a finite group such that for every two subgroups of it like HH and KK, H≅KH \cong K or H⊆KH \subseteq K or K⊆HK \subseteq H. Prove that we can produce each subgroup of GG with 2 elements at most.
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